{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-16T12:33:03.160853Z",
     "start_time": "2019-09-16T12:33:00.728109Z"
    }
   },
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import statsmodels.tsa.api as smt     \n",
    "#tsa为Time Series analysis缩写\n",
    "import statsmodels.api as sm\n",
    "import scipy.stats as scs\n",
    "from arch import arch_model\n",
    "#画图\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib as mpl\n",
    "%matplotlib inline\n",
    "#正常显示画图时出现的中文和负号\n",
    "from pylab import mpl\n",
    "mpl.rcParams['font.sans-serif']=['SimHei']\n",
    "mpl.rcParams['axes.unicode_minus']=False"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-16T12:33:24.210941Z",
     "start_time": "2019-09-16T12:33:24.206952Z"
    }
   },
   "outputs": [],
   "source": [
    "from statsmodels.tsa.arima_model import ARIMA\n",
    "from statsmodels.tsa.stattools import adfuller as ADF\n",
    "from statsmodels.stats.diagnostic import acorr_ljungbox"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-17T12:58:17.306307Z",
     "start_time": "2019-09-17T12:58:16.579548Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "DatetimeIndex: 20472 entries, 2014-09-01 00:00:00 to 2016-12-31 23:00:00\n",
      "Data columns (total 6 columns):\n",
      "y    20472 non-null float64\n",
      "p    20472 non-null float64\n",
      "r    20472 non-null float64\n",
      "t    20472 non-null float64\n",
      "u    20472 non-null float64\n",
      "v    20472 non-null float64\n",
      "dtypes: float64(6)\n",
      "memory usage: 1.1 MB\n"
     ]
    }
   ],
   "source": [
    "#获取数据\n",
    "df=pd.read_excel('data.xls',encoding='utf-8', index_col='Time')\n",
    "df.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-17T12:58:17.980742Z",
     "start_time": "2019-09-17T12:58:17.966782Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>y</th>\n",
       "      <th>p</th>\n",
       "      <th>r</th>\n",
       "      <th>t</th>\n",
       "      <th>u</th>\n",
       "      <th>v</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Time</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2014-09-01 00:00:00</th>\n",
       "      <td>15.78</td>\n",
       "      <td>16.80</td>\n",
       "      <td>0.319399</td>\n",
       "      <td>298.288483</td>\n",
       "      <td>2.694659</td>\n",
       "      <td>1.392477</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2014-09-01 01:00:00</th>\n",
       "      <td>32.18</td>\n",
       "      <td>35.20</td>\n",
       "      <td>0.319399</td>\n",
       "      <td>298.288483</td>\n",
       "      <td>2.694659</td>\n",
       "      <td>1.392477</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2014-09-01 02:00:00</th>\n",
       "      <td>32.82</td>\n",
       "      <td>36.50</td>\n",
       "      <td>0.319399</td>\n",
       "      <td>299.756348</td>\n",
       "      <td>4.015072</td>\n",
       "      <td>0.340476</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2014-09-01 03:00:00</th>\n",
       "      <td>31.71</td>\n",
       "      <td>36.20</td>\n",
       "      <td>0.319399</td>\n",
       "      <td>301.224182</td>\n",
       "      <td>4.981209</td>\n",
       "      <td>-0.667879</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2014-09-01 04:00:00</th>\n",
       "      <td>34.41</td>\n",
       "      <td>39.89</td>\n",
       "      <td>0.714590</td>\n",
       "      <td>301.851410</td>\n",
       "      <td>5.261214</td>\n",
       "      <td>-0.924223</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                         y      p         r           t         u         v\n",
       "Time                                                                       \n",
       "2014-09-01 00:00:00  15.78  16.80  0.319399  298.288483  2.694659  1.392477\n",
       "2014-09-01 01:00:00  32.18  35.20  0.319399  298.288483  2.694659  1.392477\n",
       "2014-09-01 02:00:00  32.82  36.50  0.319399  299.756348  4.015072  0.340476\n",
       "2014-09-01 03:00:00  31.71  36.20  0.319399  301.224182  4.981209 -0.667879\n",
       "2014-09-01 04:00:00  34.41  39.89  0.714590  301.851410  5.261214 -0.924223"
      ]
     },
     "execution_count": 87,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 103,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-17T13:08:04.151915Z",
     "start_time": "2019-09-17T13:08:04.143936Z"
    }
   },
   "outputs": [],
   "source": [
    "def stability_test(data):\n",
    "    diff=0\n",
    "    adf=ADF(data)\n",
    "    while adf[1]>=0.05:   \n",
    "        #h0:存在单位根，序列不平稳\n",
    "        diff+=1\n",
    "        adf=ADF(data.diff(diff).dropna())\n",
    "    return diff,adf[1]\n",
    "    #print('经过%d阶差分平稳，此时p值为%f'%(diff,adf[1]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 104,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-17T13:08:17.956882Z",
     "start_time": "2019-09-17T13:08:04.789008Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "数据y经过0阶差分平稳，此时p值为6.455222578477926e-24\n",
      "数据p经过0阶差分平稳，此时p值为7.90487206122786e-30\n",
      "数据r经过0阶差分平稳，此时p值为7.472052727036412e-30\n",
      "数据t经过0阶差分平稳，此时p值为0.00060691845759482\n",
      "数据u经过0阶差分平稳，此时p值为3.0343709817083926e-28\n",
      "数据v经过0阶差分平稳，此时p值为1.4462413741835467e-28\n"
     ]
    }
   ],
   "source": [
    "#判断数据经过多少阶平稳\n",
    "for c in df.columns:\n",
    "    a,b=stability_test(df[c])\n",
    "    print(f'数据{c}经过{a}阶差分平稳，此时p值为{b}')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 106,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-17T13:11:24.315519Z",
     "start_time": "2019-09-17T13:11:24.308535Z"
    }
   },
   "outputs": [],
   "source": [
    "#序列白噪声检验\n",
    "def jungbox_test(data):\n",
    "    [[lb],p]=acorr_ljungbox(data,lags=1) \n",
    "    if p<0.05:  #h0序列是白噪声序列\n",
    "        print('原序列是非白噪声序列，此时p值为%f'%p)\n",
    "    else :\n",
    "        print('原序列是白噪声序列，此时p值为%f'%p)\n",
    "    [[lb],p]=acorr_ljungbox(data.diff().dropna(),lags=1) \n",
    "    if p<0.05:  #h0序列是白噪声序列\n",
    "        print('一阶差分序列是非白噪声序列，此时p值为%f'%p)\n",
    "    else :\n",
    "        print('一阶差分序列是白噪声序列，此时p值为%f'%p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 108,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-17T13:13:13.295692Z",
     "start_time": "2019-09-17T13:13:02.163560Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "数据y\n",
      "原序列是非白噪声序列，此时p值为0.000000\n",
      "一阶差分序列是非白噪声序列，此时p值为0.000000\n",
      "\n",
      "数据p\n",
      "原序列是非白噪声序列，此时p值为0.000000\n",
      "一阶差分序列是非白噪声序列，此时p值为0.000000\n",
      "\n",
      "数据r\n",
      "原序列是非白噪声序列，此时p值为0.000000\n",
      "一阶差分序列是白噪声序列，此时p值为1.000000\n",
      "\n",
      "数据t\n",
      "原序列是非白噪声序列，此时p值为0.000000\n",
      "一阶差分序列是非白噪声序列，此时p值为0.000000\n",
      "\n",
      "数据u\n",
      "原序列是非白噪声序列，此时p值为0.000000\n",
      "一阶差分序列是非白噪声序列，此时p值为0.000000\n",
      "\n",
      "数据v\n",
      "原序列是非白噪声序列，此时p值为0.000000\n",
      "一阶差分序列是非白噪声序列，此时p值为0.000000\n",
      "\n"
     ]
    }
   ],
   "source": [
    "for c in df.columns:\n",
    "    print(f'数据{c}')\n",
    "    jungbox_test(df[c])\n",
    "    print()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 113,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-17T13:19:09.768137Z",
     "start_time": "2019-09-17T13:19:07.973047Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 6 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df.plot(subplots=True,figsize=(10,8))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 119,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-17T13:34:43.321739Z",
     "start_time": "2019-09-17T13:34:43.300828Z"
    }
   },
   "outputs": [],
   "source": [
    "def ts_plot(data, lags=None,title=''):\n",
    "    if not isinstance(data, pd.Series):   \n",
    "        data = pd.Series(data)\n",
    "    #matplotlib官方提供了五种不同的图形风格，\n",
    "    #包括bmh、ggplot、dark_background、fivethirtyeight和grayscale\n",
    "    with plt.style.context('ggplot'):    \n",
    "        fig = plt.figure(figsize=(10, 8))\n",
    "        layout = (3, 2)\n",
    "        ts_ax = plt.subplot2grid(layout, (0, 0), colspan=2)\n",
    "        acf_ax = plt.subplot2grid(layout, (1, 0))\n",
    "        pacf_ax = plt.subplot2grid(layout, (1, 1))\n",
    "        qq_ax = plt.subplot2grid(layout, (2, 0))\n",
    "        pp_ax = plt.subplot2grid(layout, (2, 1))\n",
    "\n",
    "        data.plot(ax=ts_ax)\n",
    "        ts_ax.set_title(title+'时序图')\n",
    "        smt.graphics.plot_acf(data, lags=lags, ax=acf_ax, alpha=0.5)\n",
    "        acf_ax.set_title('自相关系数')\n",
    "        smt.graphics.plot_pacf(data, lags=lags, ax=pacf_ax, alpha=0.5)\n",
    "        pacf_ax.set_title('偏自相关系数')\n",
    "        sm.qqplot(data, line='s', ax=qq_ax)\n",
    "        qq_ax.set_title('QQ 图')        \n",
    "        scs.probplot(data, sparams=(data.mean(), data.std()), plot=pp_ax)\n",
    "        pp_ax.set_title('PP 图') \n",
    "        plt.tight_layout()\n",
    "    return"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 125,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-17T13:42:38.218752Z",
     "start_time": "2019-09-17T13:42:35.893379Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 5 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ts_plot(df.y, lags=50,title='y数据')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 114,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-17T13:23:53.828345Z",
     "start_time": "2019-09-17T13:23:53.816409Z"
    }
   },
   "outputs": [],
   "source": [
    "#确定模型阶数\n",
    "import warnings\n",
    "warnings.filterwarnings(\"ignore\")\n",
    "def model_pq(data,pmax=5,qmax=5,d=0):\n",
    "    bic_matrix=[]\n",
    "    for p in range(pmax):    \n",
    "        tmp=[]\n",
    "        for q in range(qmax):  \n",
    "            try :\n",
    "                tmp.append(ARIMA(data,(p,d,q)).fit().bic)\n",
    "            except :\n",
    "                tmp.append(None)\n",
    "        bic_matrix.append(tmp)  \n",
    "    bic_matrix=pd.DataFrame(bic_matrix)\n",
    "    p,q=bic_matrix.stack().idxmin()   \n",
    "    return p,q"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 156,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-17T14:10:33.150013Z",
     "start_time": "2019-09-17T14:09:52.668052Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1 2\n"
     ]
    }
   ],
   "source": [
    "n=24*30\n",
    "ts=df.y[:n]\n",
    "p,q=model_pq(ts)\n",
    "print(p,q)\n",
    "arima=ARIMA(ts,(p,0,q)).fit()\n",
    "xdata_pred=arima.predict()\n",
    "pred_error=(xdata_pred-ts[1:]).dropna()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 155,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-17T14:09:38.303377Z",
     "start_time": "2019-09-17T14:09:38.246530Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"simpletable\">\n",
       "<caption>ARMA Model Results</caption>\n",
       "<tr>\n",
       "  <th>Dep. Variable:</th>         <td>y</td>        <th>  No. Observations:  </th>    <td>720</td>   \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Model:</th>            <td>ARMA(1, 2)</td>    <th>  Log Likelihood     </th> <td>-2119.562</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Method:</th>             <td>css-mle</td>     <th>  S.D. of innovations</th>   <td>4.583</td>  \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Date:</th>          <td>Tue, 17 Sep 2019</td> <th>  AIC                </th> <td>4249.123</td> \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Time:</th>              <td>22:09:38</td>     <th>  BIC                </th> <td>4272.019</td> \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Sample:</th>           <td>09-01-2014</td>    <th>  HQIC               </th> <td>4257.962</td> \n",
       "</tr>\n",
       "<tr>\n",
       "  <th></th>                 <td>- 09-30-2014</td>   <th>                     </th>     <td> </td>    \n",
       "</tr>\n",
       "</table>\n",
       "<table class=\"simpletable\">\n",
       "<tr>\n",
       "     <td></td>        <th>coef</th>     <th>std err</th>      <th>z</th>      <th>P>|z|</th>  <th>[0.025</th>    <th>0.975]</th>  \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>const</th>   <td>   34.0232</td> <td>    6.172</td> <td>    5.513</td> <td> 0.000</td> <td>   21.927</td> <td>   46.119</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>ar.L1.y</th> <td>    0.9584</td> <td>    0.011</td> <td>   88.011</td> <td> 0.000</td> <td>    0.937</td> <td>    0.980</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>ma.L1.y</th> <td>    0.3426</td> <td>    0.038</td> <td>    9.056</td> <td> 0.000</td> <td>    0.268</td> <td>    0.417</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>ma.L2.y</th> <td>    0.2053</td> <td>    0.038</td> <td>    5.380</td> <td> 0.000</td> <td>    0.131</td> <td>    0.280</td>\n",
       "</tr>\n",
       "</table>\n",
       "<table class=\"simpletable\">\n",
       "<caption>Roots</caption>\n",
       "<tr>\n",
       "    <td></td>   <th>            Real</th>  <th>         Imaginary</th> <th>         Modulus</th>  <th>        Frequency</th>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>AR.1</th> <td>           1.0434</td> <td>          +0.0000j</td> <td>           1.0434</td> <td>           0.0000</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>MA.1</th> <td>          -0.8343</td> <td>          -2.0432j</td> <td>           2.2069</td> <td>          -0.3117</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>MA.2</th> <td>          -0.8343</td> <td>          +2.0432j</td> <td>           2.2069</td> <td>           0.3117</td>\n",
       "</tr>\n",
       "</table>"
      ],
      "text/plain": [
       "<class 'statsmodels.iolib.summary.Summary'>\n",
       "\"\"\"\n",
       "                              ARMA Model Results                              \n",
       "==============================================================================\n",
       "Dep. Variable:                      y   No. Observations:                  720\n",
       "Model:                     ARMA(1, 2)   Log Likelihood               -2119.562\n",
       "Method:                       css-mle   S.D. of innovations              4.583\n",
       "Date:                Tue, 17 Sep 2019   AIC                           4249.123\n",
       "Time:                        22:09:38   BIC                           4272.019\n",
       "Sample:                    09-01-2014   HQIC                          4257.962\n",
       "                         - 09-30-2014                                         \n",
       "==============================================================================\n",
       "                 coef    std err          z      P>|z|      [0.025      0.975]\n",
       "------------------------------------------------------------------------------\n",
       "const         34.0232      6.172      5.513      0.000      21.927      46.119\n",
       "ar.L1.y        0.9584      0.011     88.011      0.000       0.937       0.980\n",
       "ma.L1.y        0.3426      0.038      9.056      0.000       0.268       0.417\n",
       "ma.L2.y        0.2053      0.038      5.380      0.000       0.131       0.280\n",
       "                                    Roots                                    \n",
       "=============================================================================\n",
       "                  Real          Imaginary           Modulus         Frequency\n",
       "-----------------------------------------------------------------------------\n",
       "AR.1            1.0434           +0.0000j            1.0434            0.0000\n",
       "MA.1           -0.8343           -2.0432j            2.2069           -0.3117\n",
       "MA.2           -0.8343           +2.0432j            2.2069            0.3117\n",
       "-----------------------------------------------------------------------------\n",
       "\"\"\""
      ]
     },
     "execution_count": 155,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "arima.summary()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 160,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-17T14:13:23.273696Z",
     "start_time": "2019-09-17T14:13:22.898700Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df_p=pd.DataFrame()\n",
    "df_p['real']=ts[1:]\n",
    "df_p['pred']=xdata_pred\n",
    "df_p.plot(figsize=(10,5))\n",
    "plt.title('一个月内的样本内预测',size=15)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-16T13:11:57.202582Z",
     "start_time": "2019-09-16T13:11:55.207730Z"
    }
   },
   "outputs": [],
   "source": [
    "arima=ARIMA(xdata,(p,1,q)).fit()\n",
    "xdata_pred=arima.predict(typ='levels')\n",
    "pred_error=(xdata_pred-xdata[1:]).dropna()\n",
    "#arima.resid  # 残差"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 127,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-17T13:49:27.242083Z",
     "start_time": "2019-09-17T13:49:27.234103Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "残差序列是白噪声序列，p值为0.935718\n"
     ]
    }
   ],
   "source": [
    "[lb],p=acorr_ljungbox(pred_error,lags=1) \n",
    "#LB时间序列是否存在滞后相关的一种统计检验，选一阶滞后\n",
    "if p<0.05: \n",
    "    # 即拒绝原假设，h0是白噪声序列\n",
    "    print('残差序列不是白噪声序列，p值为%f'%p)\n",
    "else:\n",
    "    print('残差序列是白噪声序列，p值为%f'%p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 134,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-17T13:54:59.737467Z",
     "start_time": "2019-09-17T13:54:58.669585Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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ACeSBTCScu3P39mUZshZkZv1/MJJQFmTFEEX5IA8s+tSCnB2BTL/4FGzr11k5Vk5RLhZJKIE8kInkwHIs6G3jYd9/qHQ4wnI8mINBxLNSQXqKoYZysRhYZPs5WCzI2RHf7NVnwT78T1aOlUuYEshJKIE8kBGuFc4cuIr3OovFULcgD+IOVlmQFUMQFoupIL2BhiRosxJUJ4vibLnBJRJZrS/0i0/Btm/O2vFYKAAWi3a9ofJBTkIJ5IGMEMiuvP4/d29f+CHvg8wGb5S0LhKYEsiKIQLbtA70ivOBtmb9i0E8wN2bkAVtNowOLMvHA4BEHCyLi2uwJ+8FvePKrB2PXnEB6N1Xd72h1OcrazJHCeSBjHCxcLv7/9xZtiCzoWKRoXtBEIhhQVaNpGJowBrqgFgUaGniXwyV9mqgk21B2xdBelm2IPcJO7d2vY3c3kc7+64sgwglkAcwzLAg50Igq5X0vhV7Q5S08kFWDDX0KWjWqQdGD5UZr4FOtttTe5q3bDAYBHIKWFMDEnMuAqur5V8ogZxETgRya2srbr75ZgBAPB7HvHnzcNNNN2HhwoW5KM7AJZJLgZxlH+Sh0uHsDRZklQdZMdQQgiAS4f8P1nd3b4Nl2We4L9rnQSqQsXMrEGgHGnbzz7IPshLIAHIgkAOBAB599FF0dvIH8O6772L8+PG4/fbbsWzZMoTDOUxtNtAQ98KdAx/kbOdBHowNyLdBvm+DNRdyQuVBVgwx9P4InaZAHrQxBHsTfWlBzsLxGGNAIs7/DTJYq+5OJNp5uY9WAhlADlbS0zQNc+bMwb333gsAWL9+PS688EIAwH777YctW7bggAMOsOyzYMECLFiwAAAwb948+Hy+fi2z0+ns93MCQIAAQQAujwfl0vlZLIqWW65A4YU/g3v/Q7J6TrGodXFhAfJ6cc2tLifkV6zQmw9vDu5hf5OgMfj1vyvKyqAVFOW0PN+GBkbBADjBUDEEnplC0eHUEALgdRAE9e985WUgDrXYbC6JdTRDD5tERWkZtOKSXh0v2lCMFv3v8rJSOHrZvrFEHA0AXJpm6aN7g+iDs6U50h0vEI0gCKDQ40G+z4eA223U/ZJ8D9z91Pb3t75y9iArWL+//V6v1/K5s7MT5eXlAIDCwkK0tbUl7TNr1izMmjXL+Oz3+5O26Ut8Pl+Pzslam4HiUhCtdwZ62szPGevstJyfNewG3bgaLXde3WdLULe3toL04j4nxFSlTqCtDaF+fm65gDU1GX83NTaChAffSFwEVMYjkX5/1xSKXEBbWwEAoZZm4zt/QyOIy5WrIikAsOYW4+8mfyNItHezWqzVPF6z3w8CR++Op/uuxzqz01bKsxbZbnvtx6O7ue9xR0szgn4/aHu78VtbQz1IxfCsnj8dPdVX2Tifu5uJD3IepOfxeBCN8koWiUQG/bQWCwZAr7sMWLG49wcTQXr26Rtm+70v6HWQnnKx6A8/RrZuRfdyXPYE5YOsGGrYfZCBoRM3MZCRXSyyoQ2ynRVD9M3Z6t+y3E9m0lPJLhZSe5/tPmWQknOBPH78eNTU1AAAtm3bhsrKyhyXqJe0twDxGFhzY68PxUSQXmcn6EfvmKnSJMHMOiMp9vwW56IUbO1y8wsVpPft6McsFmxLDejDc8HeeDG7B1Zp3hRDDSGQO6UYGBWol3uyLWizbcBI0Sf3imz3k5nyebfqsyXxFCJfZTACkAMXCzszZ87E3XffjY0bN2LXrl2YOHFirovUO4RVNxvBhuJYDbvB/v44EAmBnHK2tSLXbgP2ndLrU7EP3gL71zPm50QCpFcHVBbkrKURSgNr3MP/aM7y9JRopIfKM1MMecQsDIvIAlnV/5yTbUGb7TRvA9yCbARcp0IsiiMsyJJBhMVjvev/9xJyJpDnzp0LAKisrMSNN96Impoa/PjHP4bWS7/dnCNEbSQLAtlmHWabN/I/ZMtelizI2LXN+rm3K0nZO5ehIrb608UiFOD/ewuye1zRqA7CyGyF4lsRtWWxAIZOmzWQsViQs/A8su5ikeWlybM9KEtzjSwWAwId/IPhYiG198rFAsAAcLEAgPLycsyYMSMpgG9QEtbjQCNZ8A+2v3S12/Tv+6Aid9qCybKd5q2HLz7raANbngU/7v4m2w16JoJCIBdm7ZCMUnNwpASCYqiQSiArF4vcY7H4ZnklvWyk4TQsyFkyJmTbKJGuD2o1g8kR088Zj5mr9ioXCwADRCDvTbBsWpDtlbupQc+7KK2ZHs2OQE7yZe6tOOqlDzJ97C7Qv8wDC7R3vfFAwuJi0ccdrJgiy2ZHLh9LWZAVQwUjSE+5WAwo+tLFgmbDxSLL7mjxbFuQ0xyvzczWYgTnJRKARzdSKgsyACWQs48ukFlfWJABPi3SFyve2I+TQdyxjjbQzz/JfLze+iDv2sH/78tMHX1BP7pYsBbdChDNkpsNYDaohAxoCzJr3AO29etcF0Oxt6BcLAYm2Q56plm2SBvxGgM0SC9dHW6VBLLussniccCTr3+nLMiAEsjZxwjSy4KwS/WyhIO2aNMsCWS7xTuDcz+95TdgT/0RLBRMu02vfZDFICDTOVLANm/k/lW5oh+zWKBFD87Llh86YD43lxtIxAds2kV6/c9A7/p9rovRaxKP3IbEb36c0zKwdcuRuOzMrGTeGbQIgSwPNvt6BkjRNdn2Gc52+yyEcTaXrc4maQS3keLN6TTdKRJxwO3hf2foQ1kshsQfLgFbtTSbJR2QKIGcbQwf5Cy4WKR6WcJBa5BellwskizI6Zz7A+1Ah76YSybLZS99kI1rF4Fo3YCtXQ56zzVgC//Ts3Nlk/4M0tMtyCyby4KKgZHwRRvgfpgDVcB3m7VfWlOL5QD6gf6+7NiS03LklFR5kDNlAFD0DwM+D3JmCzLbtA6JO660ZkfJRNYtyGmusbUZcLqA4lIpi0UMcLm4cSSTi0VrE9DiB33p6eyWdQCiBHI3YSuXgtXv7nrDrPogp6jcoWAfBenZypsugGGbNK2dSZjZy95jC3LPBTL9+B3+R0fyaowyrK2FW8y+/LRnZepWIfpHIDPGgKAehWwPsOwNooF26gI5FETiwZvBNm/I3jl6CZMDTLLxng11xHus9W5VsUGNuAfy1HIP3l8Wi4I1NWS5UAqLS0S2LcjZmCFIlUNYgj5xL7B9M7Bre/eO129Bes1AaTkXyXHJB9nh5CI5k4uFeFeGwDLsSiB3E/rYXaA3/qLL7Qzf4y46bhYKcp+fTKR6WcJBc8EQIHs+yHaRlW7kGe+m/3OW8iDb3TjogjeRePSu1BtvXMX/70pUb9vMj7V4YffKEAyArV/ZrW2zHnWdjs6Iea5s+iCL5yQsyNu+BjasAr3n2qwtStNrtkuWzvZW40/61kugT96XgwL1npxawvXnynroFsY62rtuw1Lt19mZWzcoG4yx1DNxPbDm0cfuBr32UmvbvJfCGAOTfVj79mTm31kP0svgRvjU/aBP3d/18cQxUtQVxpjZPnX3fskB+NmwJqepj0wIZIfTfIfjce5y4XRlzmIhsic59v4BtRLI2cawIIfSdnqMMdArzgd79sHMx0pRuVmoj1ws7BbkdI1Hd8/diywWlobBJnbZy88AKXyfWDxulMcIXkt3fN0NhuR3L60g++Q90Idv7V7gpVz2vnRPkAdgfWFBdnGBzOp2mr9tWpe982SARTMLKCZbY/QOiMXjYAvfAluxBGwwBpjkcvAhBro9cWeKx0GvvAjsH3/p8enob84BvfPKHu/XZ6Sbhetmm8UYA9bpq5AOBSvyisWg1/60fyzmFp/hNGLPX99tf1jWDYs0Ywzs84/BPv+46wNKC4Uk9fd7dpnH7O69kvv8bKxkStMI7hY/SGmF1VqciHPR25WLhWgnlAVZ0WOExTORSD9N0VgHAGBfLMp8rFQvcDhkc7HovThilCa/jOkaI4tAzmRBtrtYdE8sJu66CuyNv5tfBFN32kmNkSwwWjMLZCNHtaebebfbmvn1dKRPOccSCbCVS/svSM8ikFOLK9bRbq62Z/8tFgN99iGwhjrrD6LM7jz+/55ac5+tm751cY3DL/kQbOPqzNtccQHoHXPSbyALufYW/n/Naj3DSxzYvTP1fgOZbGS96QFsxxbzOYj3OM27lhL9HWOffwL6yXtI/Poc3o50l+5OOfcH6dqx7l5PvSmE0NANN7xBDtu4mgvCb77qh5N1PSNH/3wH6KN3ZQ4aT3WMdLM2UpvXJbKgtRu06qXjdDcANtPxvg00+XhsTy3QUAeMnWh1sYjH+OcuXCxYSFmQFWnocgpNnqZMM2XJtn/D/ygpz3ysRBwg+iNyu3nqrVDQOg2eBRcL+rsLUnyZpnPornuHPcdkuiAGu6Vw6yawd141P4cCYOEU1ni79VpYwB0OoHYb6Ot/Mzps1tTI/WiFcBbPpZsWZGOaTPj8prqO914DfewuLpIFfSqQ9WsoKEr7HOhjd4Fe/zMwISJldmwBW7IQ9GnbNGKSBbkW8A0DRuwDprumyLDWZquVOQOMMbBnHwR94CbQJR+m3zAeA3bvSP+7tIw7ExbkLz41Gmy285tulSdjOdNYU+kHbyEx7w9gO7f26hxJ9LMvNb19DugDN/H3Svjs98CCjCa9w8/zgL32Aq+D/tSDsQFPunasmwKFbVpv/t2dOJUBDutoyzgLx7bowlh3dWJtLUj8/n/7RjB3x+Agnt83NaDLPgZrS9HeGcfrhgX5q7WZi/TVWlOMpxCgxnbiHSkqMf/uCtp9CzJ97YWu063K1yjSuS1eCGgayJEzU/sgO12ZXaBEO+FUFmQFbNZKkVorHZGQIS7SdnrbdaFRUpb5WDRhWvIcTp6jMBw0U6DlF/TaxYJRmlrIpxXI0ouTaRrGNtpP5U/FViwB/dXZYKu/SH+Yj98F/e15YO++Zv0hbLMWCCvq8FF8v7dfMaLy2col3I/2n0/ybYTQ7eYUETMEcgYBoVuOWLsUINiXPsiibhWXpvRBZowBemAd+8/LyfuLZy5bv4DkLBZ7aoGqapBxE/ngxTZQoTf/GvTmX3evzJIQYf98EqypMUmIyn6waRvpSBioqOKDx/ZWsFgMbOVSkMOPA/I8QG/F65ovQa+4AGxLTdJPbPXnwJYa0Fee7d057IT7TyDLz5DeceW3c7EQU8Z5Hv4sAHOlz0z7yVO+AyUDiRGkaOsOgwHQD/7TtWW8fhdv8/M8QAqBzFqawHpinc8x9Nqfgv7h/1L+xiJhw/rPRNaTzRuB9lbQV/7aB4Xphs/wiH14edZ8Cfb0/aAP3ZL+eN0R3HW65TeFAYv+903QP94A9v7r/AvZ8JNiYS+43cCYfXtgQZaOl8jsKsbeeRXsqT92cbwUAnnrJmDMBJDSci5yJR9k4nTyuhzP0LcH9b6X7P3yce+/wmwgjwz99Wk3Y4xxC2+Zj3+RZtrUaFi68jtMUFOoEMIFsWxB9njBepvFIt3Ubjr/O2lUyzo7wbZvBkvlepDkg2wTzIwZAVVs1zb+v/2c8gCizmZRtIt6IRgLisxzCOEtRvvrVnAXEVHeeAz0/TeQ+Mu85PLL6Ba2jKv66c+EEGJ+lwULMlv7JegLf062WMoCOZUPsmTVZbuSrbGG6A8FrULFZkFGoB2kcjifjgu0J9d/faDSraArvb6TmacA4SDviK/5qXUbuSOxi3dR9kgIKCgECouAthbg63VAOAhy+LHAqLHm+/UtYbX8XrNF76ffaPuW7Aq8/nSxkFfRku5Vt6aoBc26QHbnAWUVfP/abWCJBOh7r6duEwDrQCCQfkZGhkVCoB+9DZZNX3sZIV6LSi1f0/nPgb30JLB+Reby7dkFVFUDw0aCpXCxoA/eDPbPJ7JW3K5g4RDPB9+TuA/GwNYu5zOkIpYjVf3euZWLzDIfsIPP1DAxe9cXbjMWF4vM7xsTzynTQK07C4UIA0o8xmMb9POyeAzsTe7+x8QMl8UlwmrxZU2NQHklSEWVsQouffMffFYuHd3wQWYrloC+8Gfzc6b7QlOUL6y3n4DNgix8kLsI0hMDaUl7MJoAffp+y+JNLBwanPEgEkogdwc5sjSTs300yiubT7eopLMgi4Ykw5Q9AKsFWdOAfC8PMBMvTr6392nwj3ofAAAgAElEQVTeRKe47xTr923NSFx2JuhS21S4zQeZ3nFl6oAbe+Njf1GEvyhg3if52O48LsjE4dpaYcFu7dKPQQ47lo+KSyvA1n7JfxPPLNoJtPjBxJRyPMazNGzemFx+cd7GPaaLRSYLW6rp2ExR0u+/Afrqc+mPJ86/eCHYovdBX/+b9XtxvSVlQCya1Bmyr/W0bKPGpU57J7tdyKJXCH1XnvldUQnIuEn8uCncLAAATVbhzHbvALOLaTEgHD/ZHPhFwtYcodL7xdK5WUTC3H+8uJRPB4vnM2wkyOjxwM6tPfOHTYNxD+3nBnhdSDNYZpQaualZe0v3Mj2IFTh37wB9d37GTo811CEx93Ikbv51ShFEP/sAbF0GUbdzm+UjOfksYMLUni3KI6aMOyOmb2PtNmDTOrBX/wp677Wpr0EeCEixAmzFktT3GwB7/02wv/8F9P4bvtVzZU2NYMsXp99AzAoOG2H9Xm9/WGsz2KZ16etj/W5g+EiQ6lFA7XbLdbNIGKjbmRX//e7C3p0Pes81oI9bB/4sFDTbPjurl4E+civYB2+Z36VwVWC6fy6ZdgQQ7OAzPmK7cDDJiMA62rhYZwz0zb9bA2y7dTHdsPiKd7IxvfHKPF43XCxC5loG9Jc/BHvz77w9++sjvL4TzYhzsLzb9j6guREor+IW7mAHsG0z2H9eAr35V0g8chvox+/yY0RCZr3uQiCzSBj08butg/ev1oL+65nU7p+pBHxnGETE38gZK4QPstPNZ+bSuQuJflAO7G/2gy372GK9p789D/TRO1MfY5CgBHI3YFSqqPrLw1Z/AbZ2uXVDXfASMeWYYtqUBdq54HK5gWAgbYPPaIK/zMKSRzTAW2AN0sv39t4HWb8ebdaZ1vPX6tNon7xn3V4eJQsrbqpBg90HudnmmiILKjFQkF/m0ePMz5MPtAo6+dwC/WUl4yfD8fhrIAcdblgjLULNX28K3liUj3DTuKmwxj2g1//MFOqBDtD3XkvZ2TH9vlhSoVEK1taS1CnRLz4Fe+VZsPe42wjbsAqJay9N6acmjpskckWnIKzs9mvYvQPw5IOMn2QZaADgHdaGVeYXclCKEFxCwAK80Rw5hg88ttmuPU9feUkKBmSREOh914Peex1fcUm4KohnlJcP8j+SW4bUaVruwdavUw9IIyHubuTVZ1TE4g55HmCf8fzefFNjFSqhQPctauJ+NexOTvDfGTFcCtiCf1uOSZd+xCPq334F9NfngIWCoL//Ce/QVi7NLHp14Uifvh9s/vOWQEO2bgUSj95lnIt9tZbfs7qdPNjGfqznHgZ9eG76c+kzNgYjx3CLUg/cAIznEuwwRe/mjab/5p5ao16xVcvMtGCya5QkkOnjd4Pee23yeRgDE36WWzcBa77osSWZ/ecl0L/MS+ubKlYQJHaB7HTx/xvqQB+9C/S5R5L3jccB/x6QYSO5kaGt2doeCmthQ133suBkAUOESukQWWcE9JpLQO+Yk7IeMlHfZBfCFHULe2p5nzRhP/652W9NYWbzXWb/eRn0/huAtmb+99zLe3Yt3UnLJtrcFBZhHoz8IJgwgnRHcAsBKNr0//cv0FefM7JakJNO58+zs9N6DHucTVMDSEUlyNiJ/DhrJFfCtV+CvfgY72Ou/j+wT97Vj5HeIk2XfQx6efKqm/T+G8H++yZgf6+B1D7NkbCxpDSRLcixKH+2LhdQtxP0xl+kHNwb7kLyojq2OAbjfbcN1NnuHekHaQMQJZC7g1xp9Q6TvvVP0NdfsG4X0oVeeSUAJDWIrHYb6B9v4B8m7s9f1nQBBYYvqGxBLuAVMJHgn915vRfIosMqLLZ+L44rOgmjXNIL05Yht6PcELncQGOdVaBIQoiJqVbxMjqc0C79PbQrbgH54U94x2W7T/acrUwWSQCQnw+EQ2AbVnJfXN1CzpoazJc5HuOj53SZQPbYpviDHWCvPgd611XJ24o6Ij1ztqUG9KqfgF75P6CvPIuELpSwRW+s872gn/4X9MGb+RTcqmXJxxX3xD7bIM5TrE8LNzWA7anlVprNG3l2iqpqoLCEl1tqyOnT9wMbVxsi2JLpQlyHSxLILhdvSEePB/vGJpDF9HqDJJA/fJuLzBY/t9iLICYhbPLyoB11ArS7n+Lbyw17cyMX4gcfBbbgTZ5b1h5VHg5xC4i3kNdfYcnw5IOMHsev8Z5rAf1+so520Osus2ZHyYQ8oLDHHHRGQMZPBtx5YAv/A7bw//FzLF8M9swDYPOfN6xwbPECvs+aL0AfuwtY/Xn6ACIhxEVg6UrT4kn/8Ree2lBYWGURUruN+7jqVqBuuVzZcrKSvHwQbwHQ0ZoyFzLbtT158CbEUzjEZ4McTqCjDez//cvcpqkBLBgAffROXscBa4ClWAlSms5NOs+eXUD9LpBzLgEAfqwn7un6GsXxGDMGg3Iuc0aped5mPxcMpTafUxEAuvRD3u5u3QS2p5YfU+y7p5a/M8NGguzLRaPsu852m4M/evl5YDtSB5CyRAJ0yYeg77/Bra4ZAsXYuhVgKVIuspYmLmjEs2lr5teZSIA++xCvY81+Q0ixWAysrpbvI+67PKhsTDH4qqvl11rB+zi0NILJ/YCtnWJbNwHxOFjNGum4PQjm7M7CSylcFQ23iPdfB1vyIejfHxc/SBulc7FIMVAU+x1wKMiEqXzfuh02n2FpprkzwvuZiipu7HE4wFYnt+/0X8/yWbQVS/QiSX1koJ0HHep1ldkDqu2kdHVMIbglgQyX5IMc5QKZyH3+9s3JAyoxgJBjX6R2jX6xCPSGnxuf2eYNPLC5oQ70lt/wtnCQoARyd5BHUaIjC7QDdbU8vdfa5Ug8cJNpmaxI7WJB//0Pw1pGJk7l3/3h/8C2fY3EHVcicc810sY2Sx7ReCcm8iA7nSB6vkL68tNJU/DdRkwneQut34uy2wVyXM+s4XBYOtokXyO5MRs+EojHQe+40rBuGBYoffqJhYJG+jtywc9AfMNADjgU2qlnA8VlQKDdOoVkD9KLmCKJ/+/lPsYP3gJQCjJuMi93Q51pjY7H+ag5Hk8dRGi3oEiNQJLlX1y/LDDE/mMm8BH+iiWgf3vU9EGLRsH+/rgRLMg2SlZd+3EDHdYlpSNh7pdeVAIAoHMvB73pV9xKc881QMNukMpqoKiIPwsxhd/SZFq4qvfhAwq5wzLSvMkCmf9NDjgU2LzB2snnF/D/pQwGbMmHwKT9QY6ZZb0GIWTz9GdUUcVnQeQp/xY/UFIObdYZ5nd2H2q9gSf5XtOCTAgfMI4cY5ZDj6pn77/Ofa0/ehts5VIk/jIPjCa4O8OzD4F+8B/urqBbeCzTxHbB1hkGCoug3fIIMHwk2LvzwVYuBdVzmrNopxHsJcSzgD56J+hVP+E+q4CtPocs/7NVn5u/6TEN7ItFSNzwC7C3/snvu6aBbVzD25D5z+nl7Ua+VbsFx5PP3422FtC7fp9Ut+mT94G9agZgsVa9DlUON85JDj3GMAxgv2l8v4dvNTPkCPcE+b0V70eLNFiWrWzSb2TcJO4KAnDr2/bUrj6MUm6lEkKtoc70a5cF8it/5QHCNGH4ihqDa4EQFK3NvH4RDWzJR2Bv/p3vG4ty8axpIFOn8brncvNAsaUfmdctBTOxD611AgDY8s94TulnHwR75Vk+oP7jDWA1a8B2buX/6wNiFgyAPjyXz9D8+x9I3HcdT4254xteD978O29H3Xn8Xd66iYuVFYtBTjuHX8MXn/Fj6dP99E+3mXEgTY1m8PKG1Sly+9ZyV5Iy3QjU3MjbRdF/SG5oLJEw/YHle79pHZ9Z605mB0nEspWL+Qqo9jSeqVwZa7fxWd4Fb/LPu3fwwal8PEpTZ/hJ5frY2gwceBi0394MVA7j3zX706dl06+bjNyH99Mjx1iDh0fxgbyR0//r9VxUS4Kbvvc62NP3gy1ZCHQjMw9LlUDAFqTHGOMDCtFPOrgFmad6jfF2XzKO0Hl/APuXLSBZaIZQEImrL+Z1VLqP7Mn7LIY7uuDfPLBZzBClCH4eqAwIgfz444/jhhtuwPz583NdlJRYxJMskOMxYNd20EduBTauBtOntEgagSx/JqPGmsffuZVntpB9YcWLIiqrpvEGPNqpO9M7dQtylE/1vv3Kt7s20aB5C6w/iE7UnspFrLbjclstB3Z/TKkhItWj+R87txpuBWhq4C9p5XBg+2bQK84Hvftq/pvDJspLSvkIPtBuCvYkFwt9NOsRFmRbCrcRo4Gycp7DU0TzxqKmeGtpRuKKC7jFWWALuLE0QLttvnTCOipnYdDvrfabG6Dd+1dov76e31dxjkScRw6fcR4PXKtZywdckRASD93CfR6FpSocBP31OaD//if/HAkDeR4Qe6cuaGrgPpViZkA8z2+kxinYAfiGWS06RpCe5IOs33My6wzAWwj6zydNcaffP3EMtqcWqNsJcugx0C7+LX8OwQ7eMNus/IQQYJ99LemhWLSTi9/JB0K78nb+nb8eiT/fYWYhiYT5DEG+7nIUCQNuD4imgbjc0G58kF+3XifZ8s94PQuHuPVi+WJg/UrQub8FW7IQ7OWn+JTiY3dzi1dHuxkZn2RB7uTnqqqG9uNLuah88j6gtAIYM4E3/mKgnMZSRu+5hlvV5UFlJMw7yOZG/q7v+Ma05gpL5tovzTpZOYwHhelTs+wr3aIovYds8wYu/G0uQUlTnHkebuUCuMV2/Upr0GVLk/U+6Gm+yLQj+edYFCgohHbVnSCnnwft7ItTXjdLJMxrKiwyraB+SdTrQYN06UdIXHEB6F8f5t+XlEI75xJoj7wEuN18ECaOW7OG+z8DYO+8yq1UD9+q3wO9TR0+ygi+BAAmlqVvadJ9RX2AO827BAAHHQ7sfzDY0g9NK/n6lWCffQAcfCRIaQWIwwFy/s/48d97jVuad+8ERo4BOesi/rw+/S/oU/fzqfW/PYbEw3NB/3IPUOaD9psbQWbNNk5J778R9LYr+P8P3wb64dug913Hf3S5wd56Cdi0novg23/Hz/vufN6+TTqAH+Oxu4BAB7Tf3AjtB/8DjNkXTJ/BMgYjNWt4LAbAB7rCteDzj8E+etu8Z9FOXr+Gj+TWdqKZLhbifZGtr3U7jBgZy0qku7bzmbVrbQG6qZBc9dhnH/A/7LNY9kWuANAn7wX98+1AoIO3rfpgwXK8hf8B/b05YAVgBtrbDUMtfpByH2+zdP9dFgmnTfNmGBFG7wsAPDZCghx8hNFHkeO+x5/Zlo1WkS1WuHz/DTP4zZ5pZcwEqYwpUvPZLchiBVbDguzSDUX6++7K499JsAVvWgdK8gCitZnXMXuMkIzw/5cNTP2c9/3bknOBvGzZMlBKceedd6K+vh51dSn8nnKNzcWCRTvNyrvg38ZPhlWjPDmLBWOMjyAnHwjtqjt5BL4gVXCM3cWCEF55o516vkJHdvIgGxZkm0DWO2+SysXCqYtzeaq23r7ghPRCVY8y/9aFF2tqACqqQAqLkgcStgTkpFj3s21rMX+z3zPRSIpOTjQAAMiJp4PMOIlbLEVHIHyvRAO+ZSPPubzBXMSC1e/iUcgnnAZMnGqxJtIXHrWKCDHQkF988Z3Hy1PqHHRE8n0WZR0zgV9DcyOfblu/knfEtilz9tY/uSVETJONn8wtdsIiIUgkeHo2IZBFwNHmGl6XAH49lcOtQs5wsZCeu7AgewtBzruMW5H/+wb/TcyuCBH35ad824N18VRYDHS0gz5yG+jjd/PvJFFPJh0A7PzG7FjjcfN8+03jWUka6oCaNWBrv+TTwbEo76QMgRyyPu8x+wJjJ4Lt2cUHQf56buGUoI/cZg7iGOMWntJy0Cfu5VP6o8bx+9Ts5y4GkTAfFMSi5iBsykG8k4vHQGacCLLvFLPzmHqIebLpM0B+cjkw5SBoNz0EFBSBPn6X9b5HQkbWDnLsyQCjYKuX8XMKq7DcAZZW8PMZz4g/L9nfnr78DBf+j9xmneGxT8V6PCAnng7tgReB4lLQfz3DLaRrl/M6Hg5aO7ev1/Op2KnTzGPke0Eqh0ObfQG//6lyjO/4xhhAkkOO5kFLwYBZZt8wsLqdoJ8tAHvmAf7+iDZGbwNIvhcYN9kS0EfvvxH01t/ysonA3NptvM1t2A04HNz1Rn6X9JkX1O8GmhtBUlmQwdsO7dp7of3qOpCjTrBkWaGfLeBZXibub3ynfedkkAt/wS2IO7bwujusGtr3z4V2AZ92Zp9/zPOTL11oZILQLvwlyLQjuJV3+tFmAcZMAPnubGBLDV+1cPcOYL9p0H7DXfXIWReZ2+qiGADIZP3v9laQU8/mQXXgFk3s3sEtfrXbeHAmpfy9zy8w/MbJaefwHNcbVnPXjXUr+L1iDKgeDeJw8PiHZj/Q1gIyQjeChAI8qDEcMgxGKCoxB+gVVSmz6qRFFmYiz7lkmDEsonb3GEn0koOP4tsKcSjQB0+i32Y0wdu1RDw5BWuww8xOJep2xLZolyxGd37D2y6hBUaZM1uA3kaNHg+UlIOc+iN+/oY6q9YQdX/3Du6uVVIOVFn95LXTfgRyzEn69ikEst2nOWKbxXM6eT8o0rq5XNbBgegr9NkeJgxV8rvir7e40AAADjwM5NSzzc8TpwKEgFz8W/4MdmQ5j3wfkfNMz+vXr8fRR/MGYdq0aaipqUF1dbVlmwULFmDBAu7PN2/ePPh8vv4tpNTpuFgCxW4nDHvKOjNQT9u5FRRAxZhx8Od7kU+AIr2sCX8D/IF2FB13MrzHnID49i0Q1dkT7oCQiOUFXmj5XiQcBH4AeUVF6ATgcDrhKSlBMBaFx+lApysPnuIShOMxiFf+29yXABiChMA3ah+kmpx157lRKh233elExOniZZSsSgXhDnil7RoJIGzIhSNGIeAtAAsF4Qq0obSkBP7tm+GaejAcvmGwjyWLy8rhkY4V3WcsWgAUg6JVb5A8oCiWtukgQNiTj8oqbr2PVA2DsJMVH3IEPMOGoW30WET0jtU1nmdloIwhASC/YTdCAFwNu1GmH9fvr4dz6kEo/e2NaHvgFnPf/Q9BbP1KlLT54Z5yIL/ezjC/XknsOzrDSBAC38hRRvq3phH7IL55Ixwj9kFCn3Yu8lXCMWwkv8bOEKLtLQgB8I4Zj876XbCHSRRu/xqdjCJeUATfpP2Aux5H8NXnEfi7NZVU6cQpIHkeNAMoYgl4fD60hgOIV48GbW1C4XmXIuGvR2jDKlSUl4NoGjoLC9EKoKCsHMIWVFwuPY8zzkHL6qWIvfc6ys++CM2MIgFAC7SjoqwU/k8XwDXtcJRN4v6YTSVliH/5qaXzKK8eAYfecUSPPBYtb/0TRXu2w3PkTLSAgXm9KNfP11Q9EmzLRiQ6I0DjHtDLz+X3oMIHlkggwChc4SAS3gJL/e8YNwGh995AaSSIZsZQPPUgdCz7GFSqs3kzTgRta0Fs/UrkHzAd+Sd9H83X/RxIJJBfPQKRsgq4WhrROfdykOJSVDz4AvwACsp9KNDP1XrIUehcvBBlx30X0bXLjXtWdPRMdOgzBRWX/g7O6lHAWecDAOLXzUPT7/4HnrVfGHXf1d4K9vLToISg7Kzz0fzJu2DPPAjnZwtAY1EQ/f0R5A8fgaJLr0TstLMRevMfiK5fBZ/Ph45gh/k+bfsajlFjkajdhuI9O+GeciACf38CodqtcAwbgYQepV5ePRKOqioAVQh890wE5/PYiryaVSg48BDe1nW0oaKiAondO9C06H3kHToDBfuMg5AqBRXmPQGAxjwPqDzL43aDPXgTPCd+H2EAJSecgtZF78O7fBFYKIigw4H8Q45EZPGHcC7+AGzsBDj3GY/IJ++DePJROWq0cajAQYchOP95lHvzgXgcQrKWIQH/tq9BCorAgh0odwAdbc2IV1XDVVKKKE0YdaSpvALx5kZ4tmxAKNCOgnET4aishD18qHDfSfAeeSwAgH33dDTIfqB6AFLR8BHIl66dnjwbjf94AvlfrUGwuQHeY0/i/cBxs0APn4HGC7jrUen198F9wCGg/gY4RICgzwfcdD/8v/gREvW7UXHVbXCOGgt6wWVg8Ri08kouNAhBYv+D4aiohH/ZR0jU1aJy7oPoeOZhxDdvRMl3ZqFp/vP8vsw4Hi69fMGJ+yHw2QfwrlyCAIDSi36O1rlX8Gd4+jkIvvIcv6ZxExA9+nhEV30Ocv8NSNTvRvGcuWgHULbfgXD5fGiuGo7YF4uAeAyF+x+Mjs8WIJ8mELr6YmiVw+E5dAYi+V54jj4e4fffBJxOeA6cjuiaL42+oUwDOp55CO4DD0X+986ypskEEC4ogDGc08Wtp63JaPtZLIqGRAJO3zDEdUHpHD8JccnKXH7AwfADKHQ5gQIvDPun2w1Eo/AGWlHo86Fz1TK06rmcXRWViNnclYrGjEO+zwdWUowGAAUaAVwe450vLSqEy+cD64yg6Zuv4JgwBWWV3BWlc7+DIGyspXMfhvvAQ5HY7yCwWBTOfcajweVGfrADjqrhZvla/SDFpTxLz45vkHf4sWCxKKJSTEbp2AlwnXwmmup2Qgu2G32XIFJQYNTpkoICaPkeNAEoqqxCvs+HQHEJgvEYygsL+T0qL0ciEuT9zw8uQv53z0TTr85F/rovUbj/JaCBdjRSCuewEYjv+AbQHLxt37QOjtHjkNi1A6AJlP3of+EYPhL+d7hXQNXdT4BFO8EiYfif/xNcn7yLksOOAnHnwel09qumc/ZggZOcC+TOzk6Ul/PRX2FhIbZuTR5ZzJo1C7NmzTI++/1dLNaRZUqlqOloexuad2wzPrOONv6iUQbaUAc4nGgKBMHyPAj7GxGp3QniyQdbyzvLYKkPIb8fzJnH/d6aGxHeakYbN23eBFI9CkzP+hDV1W+CAaEEBShFpL0NjBCEE9QSZd9YVwdimx7pCtrUCHi8aGpOHXDX2d5uud80GADTHEg4nJbMCYHaHQjJ20l+24FgCOShf4A9fjeidbVofO9NsNZmxA4/DtEUvlUdoRAC0rEY441m246thsUy0tyEqHy+1hYwd55RVhYzz98Rpwj4/WBHnQQs5FOGMafLnJ4HEKrhQTHRbzbB7/eDrV0OWr8bdOap8Pv9oJpp1Y7vsy+wfiXa6naB+PhgjgqrnOS/mWhv4/e2yRzZJ3RfvURpheGXGYjFATcf0bc+ercxIAvFEzz40FtoWqPzPOhYvoRbkV1u43qpPWsIgLbyYYblr+3e69F+yRweEOlwwPHwPxECX/oZ0U74V34OMmYCWAvfPhg1LY4d4U7r85g1G2z5Evg/MHPT0pYm+D/+L2hTA+Ln/tQoV8LjTcqp3RwKgVD9OZUPB7yFaHvsHnQUloGGgkCex7yuskqwzdKS7PrzD1BmzFJE6+ss9wIAaEkFEO1Ey6d8WrajoBi03Md9nPedAnLC9xE7dAbYy88AWIlImQ/Rsipuhdu4GmHNCVZagc5lPHKdtbfC/4dL+b2JJxAW9ez400AKitBaWArk636Y5ZUIStP1LbE4iHz/vMVAUQlCUhac6IolgNMJ7efXoK2oDJh2BNBQh5heL9mocYAUmBUJhRBtawMqR4Dusy/Ysk/QuH0rqJSHFADYRb8CHrgRbQveAhZ/yH3hodc/XSA3h8JG+djhxwGvvQgwivDObejcrrfHnRH4d+0Ee+ExwOFA7OyL0SpZmoKUGfcEAKgt04R2BfebDX/GV/FqHzkeOOQoBF78C1/cp8yHSMVwsGAHYpvWg5x1ERJiqj+/wPJs2aixAKVo+mKxZabD/+e7ucXs2FnAe6+juWYD6M5tQMUw0EQCrDNi1kuNd32hf78EOJwIHXAYUJvc9wSdbku7pv3uVtCXngIZPQ7sC14vA4wgaO+TxkxA8P1/A/E4woUl6JR+J7POBGuoQ/uIsSAtrYDDDdj2Z7+8DqRmLVo9hdJvDsDSThPA7we7eh60eAzNwTBwHnfxaJHa39aiMvP5lnAhEnjxL8CocWgfMRbYbxpI9WiEik0rbEcsAYwcC/bRu+Z3K5YCRENrnhfE7wcdN5m7eAAITp0OeAsR1lOt0cY9CH+1Dhg9DpGqkfwAhSXo9A03+jYA8N9/M7BhFToXL0SwrNI6KwKpXQWMtjX8zdeIvPxXkOGj+CIcAOJiRsDpBJ1zG7QNq7jFNxpFc4gP1AJNfquLgt5/Bb9aj4jfD7rWdAOJSfn0BQGXx3zOTieCTX7LzFVrUxNIqR/0iXt5fMOpPzL7IynHdsfIcfw55nn5v+ZmoLwSoZ1bzfRrevnY+Cl8dnDDSsS+exZQ5gNx5xsZNVojERC/H4nCEmDbFjTqesO4ZZLrQ1tTE6C364FYHEG/HzQaBRhD825ucQ90xoAOLtHDThc6XR7gkKMQnP8CwgcdYVik4yIP9riJPEi3fhcS+QXQfn876Pzned8DB8hJZ4AcMwtNLeYMFPnRxeh85a9ouOoSaNf/EZXDq/tV0/l8PrjlGJsM5NzFwuPxIKpX1EgkAtqXy/N+W+w+yCKIR2QQqKzmy/ECQEGh4afEliwEvfzHYBtWgYmFLnRLAcnzwHHPM8AB060Ns7BwGT7IUhYLsfxvOGT4AVvItJBFOkKB1NP+AnuEsOSDbFBcyrMVhAJm8J0cIaxpIISA+IYBTfU8sKVyODD14NSr2dlHeOKFl/MipwrSkxoGYwoJMK6PjJvI/X0v/IWZ/1FMuwqfMZH/+U+3AcNHgRx/Gv8+X7pHInODSPkXj6V2dQkFua+shHbc93hZ9CBNo6yl5Xw6S/bljnby6S95um//6Xw6KxS0Xq/HOqVNfjqHu8dI2UnYv57mrhBu07+YHDAdIARsDZ+aNpL+y1Pk9kHX2Inc/7B+t+lHG4/xdFzuPODAw8zjFyZ3NJbzu1zc5aijHWzpR/yZyHVLvFc2iHCxAIBWv+n2IH7fbxrgdPJlkAE98n6Yfowcp2MAACAASURBVM2HQjtyJr8/uu8k0d2AyH4H8+3DIV5fdaFBzjjfdHWQXUTGTYJ27k/5O69H9pPpM6yrcOVb3y9CiOmvDID8z69AjpgJ7bKrQA6dAQDQfn0DHLc9CvKj/wOcLmt9ASxuSKRSn3Hbs4uL6P0k14fxk3md+ewDQxwDABG52gGre0pFFbTr7uX5xLdvNv2pAWDnNrAVS0COmQVSWg4iiwhb/ROZYchxp0D7zY18Kt9byKeB8wtANA3aJb/jdbtuJ8iMk4xnAIAv+qI/r6T0WWP1nNzbN5vT9d4CYPXnfPBzzHcBAHThW8COLSBV1bxOyS5RkisUOep47gKVygfZtpoa2f8QOG5/DKg2LdpIUcfJ1EOMLD+kyjojqv34UjguvynJWmrZf+QYaCednvZ3y7ZFxSB6m2R8J7WhFjc5vb4D4K4XhMBx5e3Qzv8ZdzMRv+Xng4yZaDkm+2ot4KviQWcAyFkXgnznZJCfXM5FWUGhNVf01k0g+0ww422KS0GGj7YcExtWgZx4Og84FUGynZ2mz2uqTBMbV4O99BQPLtT3IaX69XvyQTxekOkzeGDn5APM59oZSX28bZu5oUlKi0fkNlf0UXJb5PHyOmRL88aaGsCWLwY55YfQjpxpHk+4CaZYnY8fu4r74tvqOikug/aLa6A9/E9+PaXlIOdIqxzq/Rwp9wFNDTyoTnarsPtIi1kd8c4bMT28LyNut7mNbszRzv85QLh7HwLcHm247hWVgpzyQ+P6yaQD4LjuPhBPPn/Hz7vMyCwk0E7+AciPLuYup91dgjtH5NyCPH78eNTU1GDSpEnYvn07RowY0fVO/QyT0o8hEjZWiSKTD+RWBN8wXvn21JoruUkCw0hxlOcxRbUOKfNZkvqzliYQQMomIAlkMeoJh8ylp2U62gzxlnQN65aD7dwKTfd3Mr4PBZM6cAt2gSwCBPPEEtgOHs3f4ge7+TdAWzMcT/3b6oMsorgrhvFR+/qVILNmg2iamZnBk2+6J9hFs2jg5JW3bMFTrDNi9YuSBZ40ANDO5FH1iY1ruDiWguAwbhL3V93/EKBqBG/8hTiURURpBXdrkaJ5U5KIJwvXaUdAe2w+X1BBfJnHA8ySVorq1AVyVbWxMh6ZfjTYisXcb/IkM9MD8eQbx9NufABEBG+483gjmO/l9SMc4ikGxX5FJdxfd91y4IzzDBFIho0wy2cbiBGni/vWNezh5Sss4lk2Vi4BpkyzzmKIhpRoRudENJuP+ehxPHjoK/5M5A6dzDgR7J1X+d9nXQT2xov8B08+CMDLGOiwDojARQmZfSHPKVxYDJLnAROiUBYCBx/Jg3f0FF3khNO4YJt5CtC4x8jBS6YfxTsI/V6nguyzL7Tf38Hvr1Q/UwkhMmZffs8BkOJSkMt+b/1d30f73g/ATjodWLXMeB7k8O9YfU91YUnffY0L+6OO58GoDicIIdAuvgI46gSwup3m/ROdvaYlBSSRcZPA9jsI+PJTsK1mACV97hGAUXPQCPB3rjPCfYNlist4HT3nYtMqNnEqF7EiB6vHC+2SOWBffsr9MGkCZOYpIEccB1I1Amhp5tdsy5BDvAVA5XCwHVtAikqB/AJo9zwDtuQjkCO+Y9YFERzkG8YH17IPsuT+IVLI2QdZAJJ9WwXCYglYVu80jnnEd8De1oP5KquTfu8PyPk8G5CFsgqeOrNqODB9hvW3CtugydZXYc8uHqwoju90gfzvb8zfC4qAWlvw8tgJwKixfPBfXJq8GAvA/f8nTAVb8wXYyWeBXv8zXsaZpyTn0y/zAeU+XsffeglMn8I3+j37QA36YMHp5GnJpMG5QWsTN4jIMTXS89VuepDXcfn+5Hv1FemklVubGsH0QGIyU3pHxHHm/ik5naooY8Uw7gttX+yjuDT53ZI/63WWnHQGX9hj42qwj94BjjmJt1NyFotEDIjon5MEsv4+ON2GkUS0c6SsAmTmqWAL3jLzX4tAa98waMd+F5RolsQDXUGGj7b2oQOUnAvkww8/HLfccgtaWlqwatUq3HnnAFx5RYzCvAW6BVkXapMPBL5YxBuhgiLe4YkgHVEBx03ilrZQAPANS+4spc4aANhzD4ON2MdsrIWlSNNMa3I4yANPSsthaT4C6RNwG1Hdhx3Llw4WhAKAN0VAjcAmkFlcX45SNDT5BVzkb95ozYtssSDzaybDR5qd/IGH8v9P/D7vvLwFPCobSCGQ3byBFRZkh9PMULD2Sy4MEvH0FlV7CjtwyyWTgvQAbk0VAjoJ2couOk1hxc6U+DxFsBJxucDkhtrWMWt/fgX0uku5BTkWtTxn7ciZoIEOoL4WRM4WIJ9HEouEEGh/ehnYspHn4E4kkgXvqLGGBRmNe3jnIA+a7IGaAFBVzfOkxuN8NiDQAUSj3CKd6vrHTuBCNA1k8gG8AS4sspSPDB8F7Q/zgI5WkOkzkPhqLc/hnIhbOptUolU75WywyQdyPznAEABGDlfojf8lv7McR3xmFVXAIUeBjBxrBugAKYO5jP2nHMT3tQf52LcbPc58d52Zp/uI0wUm1WFy3qWmBQf8HmH/Q3jKKKKBHHg4cNGvQCZz/3jiLQCmHw2Co5FYsYQHjwnrrCc/tYAvrwIDrEucN+zmVkdZ5JRW8OBC2/3Xrrwd7Ks1liljcuTxYFs2GvcI4JZ+Yli8nSAX/co8iBjQpFj2luyzL9iOLfw9GrMvtxqekCxKMGwkr1trvuAL9yQSPMAsHAQ59rsg511mZoJJZUEuTv0cSVGJ+fxSWZBHjgE5/Ds873k6kd3HaCcmW6AJIdbgKRmRmYJR/jxTXdfwUSl21PEWmsHSlcNBph0JcugxXKBO3J8HpqWaEcr3gkw9GOyNF7m4CwV5XzrzlCSjAZl5CrTv8zgEWrsNTF+NDpIFOSVuD8+iU2AVqOT404ARo8H+8YS5fyRsfd/zvSBS+kixHYuEQeTMFUsWArXbQC67ytLGGOeyH0PGN4y3ofYczPZBCsD7XvGchFAdPgranNtAH5oL9tKTYC89yTOijDAt9iweB2jUvE7AaNuN+Aa3OzllKgBy0OF8BmojD8YjJ54O5OXxYE4AmggU7C6iP820Ou0AIOcC2ev14pZbbsGaNWswe/ZseDOJtVwhXoKCIh5JHmgHCAGZdABvJCurQU44FcYa9YBpJRkzAZg4Fez9N5LEMADriFqP9mUfvQ3yXX1lO9F5EWJZnheFxWajoMM62pFq0k5O/s8WfwAy+0Lzx/a2zCO/zogx3UUIsWaxALgAKvMlLT6Q0oK83zSQ03/ME+nrVkyRGYHKS5zaXCwIIYDbY+Y2rR4N1G7lOUEfuY1/53BYpvYtgjGVhdypp7eRrVOZLOmy4C4o4vuLRkW4RVRUJeehTddg50kCWRe02jXzwBrrQfLy9JR+EV4+Yc3QI5hTTr3K57GJcuJ0gsmdv93/yltgroDkr+eNtTxISeHXTiqHc0t2PMaXU9VdVMj+NoEslsQePirjcrtk3GSwxOvcZ9p2Ptm9QDv3EtCnH+AW3w5p+j+dVVdfIhsAz+N8xEzuItINCCFw/Op6ALCmOcpL80zlfe3uT3bkqdbuxA0USIO8FPVUO+8y0NdegHbsd/mU+8xTUpdr5BhuefUW8rYr3bWIOiet6AfA6BANKiq5QLZPDQ8bkbQynXb4scDhx6Y+Xyr09o3YVvkEwH1Pl/N8voYFWD7XXU9y8a9fB9uoZ6eJRcE0D7eYFRVb0yTaBz6FReljOsT9EQs4pYBcdhVINMpnhwYBxOEAysr1hVO85uyT3EZWpxfIpKBQmsV6kA/MdBxXp18cgni8wLhJfEAmLML68tRJLhHSwJNMP9oQyIYRIW17q7en9uMVl4J852QuzItLeSrOUAjw75Fm0FJYnYWQtmeuKCmHdsRxaa81LSLbRbPN5aAkWSBzF858INppnW0jBNqvrgd780WewWfBmyCnnWvumEhI6VD1+yT6cWF8crlBRuzDF9eR9YpI4ycWsCmrgPbDn/T8OgX6gJ8pC3LXFBYWYsaMGV1vmCMMn56CQmBPLZiewoVUj4L2y+uAqdNANAeIbH0UorDcZ05dpVjliowcY5kaZ6+/CLZqmdnBGQJZA3Hn8W3DIT7atwvudJZMaVUmtmEVIAvk1mbuB52OzgjoY3cDqz+H48k3jPXaicvNy+LO49NbUgeZ1LDp10A0zSrOZeSOKFWUaV6eYbknI0aD1W7lU/qCRIIvL21sL6xC7tSdnMvNrR2yD1kGX2ySn29xiTCm2CCl1ho5JkkgkxRTfrxcyR0zmTCVr9IE8JXaop1ALA443dCumZeU4seCfJ5UnUSe7Pdra/DzC7hwiEWBxj18pTg51V4qsVdVbT6Pikp9oDg8yd/SsIBM2h9YsjB9+b1dWKxF2UeNg2PunwDAmrosg1XX2Lfcl+TK0F0sVtZUU/HpSFcu2TKU4XoNhAhzuVOKbzJ8lCHmM0HO/xmvpwdy3/O05SvSLW0Nu3lb09rMrdC2+qz95HKw11+0uO1kC+JwQHv8taS0j4Bu0dL9y8lBhyX/Ls+SAaaVPhbjbbNIayZjvxfp/EUBoFgXyAVFaX2JCSHWgfBgoLzSWFmQEMKNAdLMIKkenX5feZYjU1yLnfx80ze6M8zr567tfOBltyDLll1pJgIF+sxTuvY2T7cg293YSkpBnC6eftHhMOOH5JRpqQK6PF4+mJddIgIdVv//HkAKi/kAwbbSJkllVAP4PUsx8CJ5eSDn/pQvPrP2S2tcUjwmrTqq52D2FvC2Wzxjt5u7txz+HRDZX724VE/Z2cZdAlO5qvQEUT/CA9uCPDiGtrlGvASiAVj9OcjxpwLgo9iUIkgEgZRVgOyjJwsfPzl5O1n0FBRxn8hQwEwMrjfSZPIBplAJh3inYR9ddrSDbd8C+q9n+CpBnREkbvg5qJ7snRx1gmXxCxYO8Rcmjd8yJk7lv69aagreRIJbF0VD4HTxAAGZWNQiPLtlQZFFQooOEXke82XXG2n2/J94w7jPeF6OQ81BFtE0bh1L4V5hnM+22AjJZEGWf3PnmcscA9wtwZ2X7O8HpM4HK65HkFLQ6lYuRgGXk4vnVNNt9mMQLbWfnfxdkgVZv0eBDm7B8A3v2oIsX2tJOW805QGK2G7WbGi/vp7noc6EXL6urK9GuaVnks5y1Bd0Q4wDgHbPs9Dufjr1j/Kz7IkFuSfCIwUk3wvtez/gfuBuT/r7JvvYlvmgPfgitJ9fk7QZKa+E9tM5XVvMv215nc7ULiAjx0D7/R0gsy8Aho3s+kDiHsei5ntrfzftzzWTa4TISpDGp3SwQsp1Y46oF3Y3i0wWZPH+l6bpTwTy4hYAzxPvLeR9IdGg/YgHobGdW5MtvpKLB9EcZj+U7+WuEBksyCzambRcNRH9q72eyf1RqvYv35ucBxmwiMoeIeqRfSl6Kbe1hbz8zO2Q+E12YRB5kOWBsWj7xXld3KCUUqsIF5EUPvc9Rpw3qCzIgx6mvwTGaAsAOeO8zDuJhPhlPpDhI/WlaZMbFznaGO48IxIebXwES4ZVg9z2KG88RMAMozwARw52KigC27XNCAwhs87kVp+GOv7PncdXy1r6IVignfswCreINA0a2e9gS0J+xpiRxUI7ZhbYsBH8ZbG9qOy1F6zTcqSnAjmFYMjzGC8xqR5tPofzf8ZdRJoaeCMrI1ZbS4XLmWxNSCdmAatlIi+P+0zb3RJSNVhpLch5qf+WvxP+aN2yMIoltj2pLVpy2exiRoiu3Tt4B+Kr6tqCLN9rlwvatfeYfq0SxOkE9ET9GbGUr3upConLbU4Bd1O0ZoVunitp4Cj/Jnfk3RGXom5mGsT1FI8n7bUQl5t3wp1hkPJKi8/zQIFMOcjiz5wRcY/jMdPgYc8uYl+gKJMF2VvA35FsiIWBxOixwKa15tS9fH0lZcltrATZ/xBotz3a5Sm0K28HW7xAT7EI0x3x2Fm8jRep3poazPgBge2d0n59A7BuBUjlcJATTgOpTiNQ8/K4scfe5k9JY/EVbZC9nxV49BlEe1DdiAwW9kz8f/buPDyKKm0b+F2d9JIFCFmALJCQQFglwIAK+ilqgNFxEAFRgoOKyoggCMorMiIgAyKDuLC6D77jyOsCOoN7BBUEAUEEAgGEJBAJSwhJyNaddNf3R6U71ekl1Umll+T+XZcXdqeWp6urn3761KlzrD9ESoqk1vuRd0r9t101Lrn7rgJsx9SuC4N1FAv5fQe1uV+UFciuCJ27Sl0sXDWoeUKnkxph/LwFmQWyEvVbkBO6Ov/QyFlbKWq/WNz2863teywIAkRrQrIOr6QJsl3WEuWXxuvfyJbcQ7pD3Kroon1hGt6mbmSC82eluGovIwn1WkqE0fdKI3TU7zNabZJ+hdZeNrR1B6hHlPcnBuq6ibghBGtlNy0562JhqLsBsk1bIO1qCN171w2l4+wGCEOo6xY3ZzdGuUn+8uHaBE2QXRcLuCuQQ1y1aNS+l9YRLOrT6ev6NispoKxdNlz1KXXTgmz94WedTlgICbU/v5wV6PICL1grzTynhKui0V0B707v/sDBvY5fpM0htrM0mojaxbiCH0C2c66JLch2dHr3Le/hbaSiQn73foAStLX5pbruMrPD6AB2KwhuW0IFQZDytrNhDAOYkH4HhBtk/detr69rat3smO7Wd9cFw7pMaJg0G6L1idr3wW6EpbA2UoEcbd9Vpv6Pf0FvAKxDI97uptFKHyJ9p1oL5KTuEG4YKd3v4Yz1M+lqvNyQ2j7I9QpklwV6Q6w/QKsqgbA27l8LIF2Bcpc3rN8D8hbksivSLJryH7vWfGItkN2MDyyMygCSezS+lVy+LUGQ9s0W5BbA+iGo7TYh1A5O7o7m/pmwbPk/RZf/NM+tqRsZo/ZSqlha259Y/sUvP3nrt3YkJNZNswpALCq0H6c0rI3thkDxQgGElJ4QXbQgCz36QujWy35MS0D68Nb2QfaIpuEC2a7V0FkXC52+7vJYsBZB059peJsd41y3fDlrpXRXfNRvbQoJg1hUCNFiAQovSCMGOCs2XLQgC8Fa6XW6asHT6et+/SsqoDTS/l196cuLTmd9kAG7y2z2LcgNFMgKW3w1r250XcjKv6g8mOxGuPam2rFQHSdKUZvmySVA7gnH6debSunrDQ1XtUAWbvmzw/i5Tjm5Iz/g2FqQTXU/bN20xgsPz4FgHdLK1TK33eW8W1UAsw2JZn0c1gYiAGH4HdAM/n/q7cjJTcp2ojpALLxQ1+WjiQSdvnaqaek7RDNvhdtxqG0519WPdUOo1GBkMtZO11zb1aKxLcg6fe1Y3SanfYvr02Q84jABk3181gK59jukXaQ0JfSVYvvuUw5dLFz3LRZCQiGoeQ7Iuyn6KRbICoiW2i4Wg66HWJDfcPcKAEJKTwTNXKBo+0J427pfdYZQqeXXesOdvFCRtwLWJjHNUy9APJdf90G23l1bdBGiXQtyW6mVU6ORbn4A6uZur9/Xzrpe/eKtqlJKBE4m99BMmwfLGhd3KgsKWvfkRYfTFmQPL0kD0g2USvZnpbSLBSAVKpXlUiuHsRKI7+J80hN3LXQ615e4odPXJQ+lBZkhxPVoDtZxtE0m56NYAK4LZKevS3Y8FMbntsWuEe8vAAiDroOgn29/w04zEdpG2I0DqxqFr1e4apDLiVMaQyMbR9up2jvehRbQgqyoD7KMRsFoG5qb/qRGZP6ttpHF7f0ZjWH9vOt09t0MraI7AAX5dn2QhevSHZdTymConShEhHWqbre0DRTIteeOWH5FKipraqQuKI3sciMIgvQdfbnQeb6tv3xDP2yt3yvWc71jnDQsp9Fo/4NXb5BqAutNeh7OxNsksm6K/oo36SlhbUGO6oigv73YrF8YgkYDhIXVdbFw0RdUqP0QCd16SUM7WS979LhKahkpKrTr3yOEt5VavkLD6vq2Xq6d1ap+kVb7C9ahpaz2kpKzhCb0vxYaVz8IlLQg2/VBdrL9RrQwCkFBDv0K3W7DXYtS/eVDagvk2qmyhc7JTm/WdNuPUad33SVC/p4onTveENpAQV57DF30QRZLZTdqyL5AnH6ZyMfIVKNFVR6TB9sTBAFCv8FNv6valxoYB9lKM/ERaEbe2czByFgn8WkJLciyUSxE69W6FtY9ollYj5GaXXsAWRczFz/oozoAl87brhpq/vEOhEnTGr8/XW2BbBEVdfmr62LhIq/IW16tyyjoXuKW9Vi7+s7yhEHWxULQSKMLFZ6XunLKWpBtXR0AqWFMQXGumtAwv58ohAWyEtYCOchLhyu0TV0LsssuFvVO5IQkCH95FJoHZgKR0RCLLtqffNZftjq97YtPPJcvDddVn/UST0pP4A9DIdw/Q3pcVVk3k54zri7PeJKQAOfbb2wfVSX7q+WymHYmNAwwmSCeOCollrhE58VptJsfU3q96yHD6k3HrIQw4FqpldEVaz/l+scvpN5lNiXz1DemgHfDrh92M42I4HesNyNp/fRCnrWFVaXL3D5lPaeqTXUTKvnhjYd+p03dcHaqsuYiV634UR2kq13WH+1tIxq+78cdvaFuqmlPbhp3kYtsE6acPW3Ll03um2s9H9UokLU62IYzDNJIV55KLkstxfIuFkBdsa/TNdyyriIhNNzvC2Q/zcz+xTqKhVduBAKkfsjW4djsWpAdu1hYCYJQd3NFZIx0qUZ+8ll/nWrrCmTk59oPzSUItktQgHTzXtAjcyGeOib18DRW2kaxcMrVr20lCUleJLi6Sc+2rMotlo0g9JAmiREzPwViO0PQ6yE6K5DdXW0whLgZt9PzYc80Yya5X8D6/tR/n6x3FFsLZAUtmnYFrcp9cptryDB/o5m5EDj3e9O++JuRZtZiiIf3eTamrb+ydbGolu73CAlVvy95CyT84TopNzhrSGkKaw5ydY9GXBcpv+adrH2iiY1TegNgrpEmqVJSBAYFwW5yrvriutR9X7aLlO53UXATozvWsZDVaMW1TSZSWS7VLfJxwesXyLIx1r0qJIwz6bUIthZkbxXIsl/rsn0KQUHSY7PZbSxCVAzEk0ftTz5bC7IOYrVJupx+pQSQj65h/cDXv0nAOmRMVaU0n7urD7CrZOLxOMgNFMgqfLHZjZrRGCm9agfVvwhh4BDpOWddLNx0edDc/ZD7PshWan2RWyckqVcg2y6z2foge7g/X920FuCEkFCgq7JZ/XxBiO8CIb7pd6z7hdovf7HaJOU9F63HwpQ5jmPRtmKC3gDBOlKQmtu13hPhqgW5a3epKD4lDW3a5JZNa549fljRFTJBEKS85qoFWa+vHeqtHELv/tAouC+pQdZzsv5QdI2lN0gFclAQhI7xdd939Qtk6xjr3i6QU3pAqHGcRt6fsEBWwDaTnpdaeuRTdjrsU6sDzJXuW/k6xEnz2V88V/dceL0uFvm50r7sCmQNAIvjTXXWIq+qsS3InnWxcJoMrZfkamc6arJG9FnVLHvTVrwLggDNtHkQz56p+wLxcLIKwdUg8IDqPwgA1H0xOEuEIWF13XqUdLGQU6GLhZ1W0oJMXlT7o0t8a6X02NlECIC6IzWQe24mqhEModKNz/m5TW89BuqmWPZEsNb990TtDXBCmjo37gr9BkHc9hlwLl+V7dmOrSZIGt/aup+29gWyEFI7v4OX865m6C1AQxNI+Rj7ICth8XIfZBctyACkIhUAOrkePk6w/k02jrFtuLPaAlk8e0Z6LO83ZS1M699UJy+QrTPpOePqA+bpRCHOWLscxHRSNjNfQzrWm7bZ1c1yMkJUB7sxo4UuKdBcO6yuoHc15nFjNEcLsq2LhbMCWfajw9NEqXaLbytpQSYvqn9O129FI+8Lb2t3w1h9ttnclNzk3QC7VvCaGtcLygUHu+3uJTz0BNB3INA5uYnR1eozUPpXre4s1kYWjUbqxmX9Hql/9cTahcrdsHGtFFuQlbB1sfDS4QqTTVjhotXa7cQj1uKvsqJ2YgahrhDW6aUpm8uvSAWx/MNiLfTqF7R6L7QgN1QUWT/saiUP2XBZmgWvOAxI3yj1i+ym9EnTyftcq3TeWY+hs5sp7Sb+8LBAdjbzYVOwBZnUVi+/CBzBwuc0j86TRmxyxTYduwoFckwnCPdMgbjxdYfppl1q006alMoFzTU3Aip2PxEEAZpV/wfVxnS35vTaRjbh3qkQ//mq430xqX2B7V/zR6MTLJAVEGu8fZOe7EPpqq+xuwI5qqNUzJtrgKRUBE2da/uToNNDNNUOlm8ItW+NtbUg2xfIQlCQ1OpYUW6b5tqpJvVBbqAoqh2aSYhRp0C2e91tI9z2FVa8Tdl7pXl1Y5MKPSEkVDazoDoFo6DTS9t09j41YuKPuuVVTiMqvV4im/rnVDiLAV8TYhPcL2DNn2aFLb4N8bDrmGbmQtejDDUTNb6HbORdLABorkuHOPQWhy6MmmuHQUxI8rxrXSvAAlkJi3f7INu1ILsokB3GLpb/Laj2rtVz+Y7LaXVSH+SKMsexLa0tx85afPUhUssz4LoF2VXhrKgF2f2pKHRKkGZ0GnBtw9vyVDPcze52Ugwl5D+A1Opy4GqYNwCCPkQqnoODPe/Cwpv0yN956wZrUo/aY5t7uD0hMlrd/XuZLafL8rmrmx3dXpFuxVggK+HlcZCt03sCcCjKhTGTFF0i0tyRAcs7rwBJ3ez/oNMD1UZpGuP6E2NY+3o5+yFgCJFmDQJcFsIu7zRWUHA1NNSVkDYYmhUbILRr3+C2lNLMXgzLd1+oc9OfyuR9nb3SB9na2iDvfhHTSdnMbaoXyGzJIHU55CY/H16KoHqLpqDXe2FCej9ibf3202EkAwELZAW8PYqFuz7ImlvHKdqEMOh6BA1yMl2qdRSLynIgtF5haOuD7GLmNGuB7OmoBSoNPq5mcQwAQq80BPVKU3WbzUK1Yd6sM+k5ktoquwAAIABJREFU64NsbV2u21fQ0tfdb0+jkX6sqRWfdXtsQabm1PcPEBTmUfIhtVuQXU1k1VJZ7y/izXeN5tVRLIqLi/Hss8/aHtfU1GDZsmWYP38+tm7d6s1QPGM2A4KgzugJSrgbxaKpdHpphiJnLcjWLhbOXmdYG9lEEgrmih/3gDTIvKvtUcP6/kH6V60viohI6YeO3sn2rDcYenIjqvWynFrDvFnPE07gQM0oaOYCCDEq3JRLzUpQu6AN5OnoG0FIrL16XHjet4EEMK9VLmVlZVizZg2MRqPtuS+//BLJyclYvHgxdu/ejcrKSm+F4xHRXOPdPmx2Lcgqv0XWy1Yllx1nyHI1zBsgDcdzubB2Gw3fuKAZeWfdXchqjGPZCmkefRqahasVTzXdEOH64dAsWuN8BjFrFwuld3gD0Dy+CJrp8x0mHml0fH+sbdVjFwsiUvumsVZWICM51dcRBDyvdbHQaDSYNWsWli9fbnsuKysLEydOBAD06tULJ0+eRN++jpMnZGZmIjMzEwCwbNkyREd7t/N8uSgCQcFe26/Yvj0uAIBGg5gObqYqboSK9pG4AgBXSmCIjEZb2Wu6GBQEC4DIyCgEyfvAAijt0AmVtcVTRJck6FwcC+tv1ejoaJSGhqISQERkJLQKjp183UCl+muIjWt4GU90cj4KSEV0NK4AEESL8tijo4GuKerF9uAM6T+iZnBlzF8QFNMJoQGcX1oTU0wHWOc0VCOf1lSV4ZKK2/N70dEB8Z0aHOy92sq6P8XLNlcQr7/+Os6ePWt73LdvX4wbZ9/vy2g0IjJSKsTCw8NRUlLidFvp6elIT0+3PS4sLGyGiF3T11QDGo139xsaBphMqu/TUl03ZE6VoIFJtn1L7RSXRYWFEGrsWxItsstdJUIQBBdxaR6ZC+h0KCwshKX2akFxcQmEMOWvw9vvr5o0S18HrpQE3GuwVEv91MSamoCLnUiRW+8CAFTw/A4IYkXdFWU1cpJYXqHq9gKBMHIMEBTs1683Ojraq/FFR0dDp/DqRLMVyFOmTGlwGYPBAJPJhNDQUFRVVcHg5TEHlRLNZu/fCRrWBjAXq79d+eXr+n2QYzsDpcXO+6HKBxF3c7Oc8IehsgfOx1VuyYSYTtLoDwFGMNSOu2zmDR1E5Ad8PMxbS6AZd7+vQwhoPq1ckpOTkZ2dDQDIzc1FTEyML8NxzWz2fpEXGt4sRbldf9F6fZA1U5+GZsazEJzMHmSbv12rcyysXe7MzbjK5F+sP055xzMR+QP2QSYf8+kwbzfeeCOef/55HD16FL///ju6d+/uy3Bc8/ZNeoDUghzUDHefypKEUK/QFcLCgasGOV+vTe0Nd+3aux7vuD43N/05o1n2Jsds9BXbTXoskInID6g9igVv/iUPeb1AXrhwoe3/Y2Ji8MwzzyA7Oxt33303NH56KV40mz0b/koFQlg4xObYp/xXef1RLNyxdrHwZCxi6/upcBQLof4c8eQ91hkX2cWCiPyByi2+XhumlVoMn08UEhkZiaFDhza8oC+Za7zfxeKqQVKLrtrkSUfJLGlWbRtRILsbV5n8i7UFmYjIH6jdxYLIQz4vkAOBaDF7vYuFZshNwJCb1N+wvIuFJzeT6UMAvQFCew+GY9G4mZmP/AsLZCLyJ5wwiHyMBbISvhjForlYk06nBI9WEwQBmsfmAx08GJfXNnU1W5D9noLJX4iIvEXxvS5EzYQFshItqUCO6QThjgwI1w/3eFWhx1UersBRLAKFoNFAGHIThME3+DoUIiIin2OBrIDXp5puRoIgQLj9Hm/tTPqXfZADgmbyLF+HQERE5BdYuShh9n4f5BaBXSyIiIgoALFyUaIldbHwJmvLscJxkImIiJpNQlf7WWGJ3GAXCwVEtiA3jsBRLIiIyD8ELXjF1yFQAGELshIWH0w13RJYJzph6zsREREFELYgKxDx7EpcKrzk6zACjnDNDUCbdhA4xi4REXmqXSRQUuTrKKiVYoGsgCYkDEJIpa/DCDhC2/YQrh3m6zCIiCgAaZ5/AxAtvg6DWikWyEREROR3BC1n0yPfYcdaIiIiIiIZFshERERERDIskImIiIiIZARRFEVfB0FERERE5C8CrgV57ty5DS7z2muvqbrPBx98UNXtqR0ft8ftcXvcHrfH7XF73F6gbc/b9ZWSGtIqaOHChQubGI9XZWZmIj09vcHl4uLiVN3nbbfdptr2AHXj4/a4PW6P2+P2uD1uj9sLtO15u75SWkMCAdjFYu7cuVi2bFmL3ycRERFRS+bt+sqT/QVcFwullX+g75OIiIioJfN2feXJ/gKuBZmIiIiIqDlxJj0iIi8rLi7GypUr8dxzz6GoqAjz5s1Dp06dAACzZ89G27ZtfRwh+YOKigq8/PLLsFgs0Ov1mDZtmt3jWbNmITiYX+MkqX++TJw4ERs2bEBlZSW6deuGSZMm+TrEgMIWZKImWrduHfLz8zFw4ECMHDkSq1atQklJCZKTkzFlyhRfh0d+pqysDK+88gpKS0vxwgsvYPfu3SgpKcGIESN8HRr5ma+++gqxsbHo168f3njjDcTHxyMhIcH2eMCAARg0aJCvwyQ/Uf982blzJ55++mmkpqbipZdewogRI9CnTx9fhxkwAq4PMpE/2b17NywWC5YsWYLz58/jhx9+wPXXX49ly5ahsrISJ0+e9HWI5Gc0Gg1mzZqFkJAQAMCJEyfw7bff4qmnnsK///1vH0dH/mTkyJHo168fAKC0tBTdunWze8wrDSRX/3wxmUxITk4GALRr1w4VFRW+DC/g8NoMURNkZWVhyJAhAIC0tDScP38excXFKC8vx6VLlxAVFeXjCMnfhIaG2j3u378/xo4dC71ej8WLFyMvLw+JiYk+io780fHjx1FeXo7U1FSnj4nkrOfHmDFj8OGHH6J79+44cOAAMjIyfB1aQGELMlETGI1GREZGAgDCw8NhNptx8eJFfPHFF4iPj0d4eLiPIyR/16NHD4SEhECj0SApKQkFBQW+Don8SFlZGd5++21MnTrV6WMiOfn5MXbsWAwYMABbt27FjTfeCIPB4OvwAgoLZKImMBgMMJlMAICqqip89NFHePjhhzFu3DjEx8fju+++822A5PeWLFmCy5cvw2g04uDBg+jSpYuvQyI/UVNTg5UrVyIjIwMxMTEOj4nknJ0fSUlJKCwsxO233+7j6AIPu1gQNUFycjKys7ORmpqKvLw8iKKI06dPIzU1FSdOnMBVV13l6xDJz40bNw6LFi1CcHAwhg8frvqsVxS4tm7dipycHGzatAmbNm1Cnz597B6PGDECQ4cO9XWY5Cfqny8jRoxAfn4+br/9duj1el+HF3A4igVRE1RUVGDBggXo27cvDhw4gIcffhhvvvkmLl68iNTUVMyZM4eXtYiIiAIMC2SiJiorK8PBgwfRu3dvRERE+DocIiIiaiIWyEREREREMrxJj4iIiIhIhgUyEREREZEMC2QiIiIiIhkWyEREREREMiyQiYiIiIhkWCATEREREcmwQCYiIiIikmGBTEREREQkwwKZiIiIiEiGBTIRERERkQwLZCIiIiIimWBfB+AvqqqqsGrVKpSVlSE6OhrTp0+HIAi+DouIiIgoYFnrq9LSUnTs2BFTp05FUFCQw3K5ubkAgKSkJO8G6AJbkGv98MMPSE1NxaJFi6DVanHy5Elfh0REREQU0L744gvExsZi8eLFqKmpwa5du5wul5ubayuS/QFbkGtFRkZi8+bNuPrqq/HII4/AaDTixRdfRGlpKTp37oyHHnoIH3zwAX777TcYjUa0bdsWjz/+uNNfQUREREQEnDhxArfccgsAoGfPnvjtt9/w888/49KlSwgLC8OsWbPw8ccfY8+ePQCkBstnn33WlyEDYIFsM2jQIJhMJqxYsQJ9+vRBTEwMOnfujPHjx2PFihXIy8sDIL25Y8aMwZtvvom9e/fi2muv9XHkRERERP6pqqoKer0eAKDT6fD5559jwoQJePzxx7Ft2zacOXMGGRkZiIuLAwAMGzbMh9HWYYFcq6CgAP3798e1116LV199Ffv27UNoaCiOHDmC8vJyFBUVAQCSk5MBAImJibh48aIvQyYiIiLyayEhIaiqqgIAGI1GDBs2DN26dQPgP8WwM+yDXOvbb7/Fnj17oNFo0KVLFwwfPhy33XYbFi5ciHvuuQfR0dEAgN9++w0AkJOTg06dOvkyZCIiIiK/1r17dxw5cgQAcPToUcTExNju89q8eTO+/fZbAFLrstFoBACIouibYGUE0R+i8ANFRUVYtWoVRFFEaGgoZsyYgbVr16KkpAQhISGYMWMGtmzZgpycHFRWViIiIgIzZsyARsPfGERERETOWEexKCkpQadOnfDggw9i3bp1KC0tRXh4OGbMmAGdToeysjK89NJLMJlMmDBhAnr37u3TuFkge+CDDz5Anz590KdPH1+HQkRERETNhAUyEREREZFMq+8fUFFRgaVLl+Lvf/87/vGPf6Cmpgbr1q3D3/72N3z88ce25YqLi50OO3L69GksXrzYmyETERERUTNq9QXy9u3bcfvtt+OZZ55BREQEfvzxR1gsFixZsgTnz59HQUEBysrKsGbNGlvncStRFPHuu+/CbDb7KHoiIiIiUlurL5BHjhyJfv36AQBKS0uxfft2DBkyBACQlpaG7OxsaDQazJo1CyEhIXbrbtu2jf2RiYiIiFqYVl8gWx0/fhzl5eWIiopCZGQkACA8PBwlJSUIDQ1FaGio3fJXrlzB9u3b8ec//9kX4RIRERFRM2GBDKCsrAxvv/02pk6dCoPBAJPJBEAamsRisThd57333kNGRgaCgznXChEREVFL0uqru5qaGqxcuRIZGRmIiYlBcnIysrOzkZqairy8PNvUh/UdPXoU586dAwDk5uZi48aNuOeee7wZOhERERE1g1ZfIG/duhU5OTnYtGkTNm3ahGHDhmH79u24fPkyDhw4gCVLljhd75VXXrH9v3W2PSIiIiIKfBwH2YmysjIcPHgQvXv3RkREhK/DISIiIiIvYoFMRERERCTDm/SIiIiIiGRYIBMRERERybBAJiIiIiKSYYFMRERERCTDApmIiIiISIYFMhERERGRDAtkIiIiIiIZFshERERERDIskImIiIiIZFggk98pLy9HeXm5r8MgIiIXzp8/7+sQiJoVC2TyO1999RViY2NRWlra4LLPPvssxowZ06j95OXl4b777kN1dbXtue+//x6TJk3ClStXFG3DYrGgsLAQ+/btw0cffYRnnnkGw4cPx9dff21bprq6Gs8//zxMJhNmz56NJ598EufPn8eiRYsAAFOnTsXatWsb9RqIiNSyb98+fPfdd4qW7d69O9555x1Fy546dQqCICjK6c7MmDEDP//8s91zo0aNwo4dOxRvo7y8HMeOHcNXX32Fl19+GRkZGXjsscfsltm0aRP27duHgwcPIjo6GgCwdOlS5Ofn49tvv0V6ejpEUWzUa6DAwwKZ/M6pU6dw4403om3btg0uq9frodfrbY+Tk5MREhKC8PBw2386nQ4PPfSQw7rR0dHYuXMnFixYYHvuvffew4ULF9CmTRuH5UtKStCrVy907doVCQkJiIqKgl6vx7Bhw7B48WJs27YNoaGhuPvuu2GxWGzrabVaZGdn46mnnkJwcDC0Wi3eeecdFBcXAwB27dqF2NhYj44REVFTvPbaa/jrX/9ql6tOnTqFmTNnNrhuYWEhysrKcPvttyvalzVHW/997rnnoNVq7fJ0WFgYgoODna4fHh6OCRMmoKKiAgCwc+dOfPPNN4iPj3e6/PTp05GSkoIuXbqgQ4cOCAsLQ1JSEh577DFs3LgRly5dwtChQ3HNNdfY8jAAtGnTBnfddRcqKiqg1WqRn5+P9evXIzo6GocOHUJYWBgEQVD0minwOT8bibxs+vTp+Oc//wkAMJlMAKSkWN+ePXvQu3dv22ONRoOgoCDbY51Ohy+++ALDhg2zPbdw4UKnlwPDwsLw6quvYuvWrQCA0tJSbNy40WWrRLt27bBlyxa0adMG7dq1w+XLl5Gamorrr78e69evBwCYzWa7eADg3LlzuPvuu5GTk4Off/4ZwcHBsFgsGDRoEM6ePYujR4/i5ptvVnCUiIjU8frrr2PSpEl47bXXMG/ePHTs2NH2t549e6KqqgodO3bE7t27AQA//fQT0tPTAQCiKEIURXTt2tVhuzNnzsSSJUvsntNopLY4a27U6XSYOHGiLecDQG5uLnr16uU01vnz5+PEiRO4cOECkpKSsG7dOkybNs3p/gHpyuJTTz2F9u3bIywsDOPHj8f27dvxwQcfICIiwmmeBqQC/uGHH8aZM2cgiiJ27NiBjIwM5OfnY+fOnRg+fLirw0ktEAtk8guCIODJJ5/EwoULXS4TERFha2H417/+hdOnT2PHjh04f/48li9fjtjYWLvWZDmdTmf7/++++w4jRoywe27dunWwWCyoqqrC0KFDIYoiTCYTdu3ahUGDBtmWS0lJASAV8RMmTMBtt92GV199FQDw9ttvY/Hixfjwww/t1tm/fz+WLVuG4uJiHDp0CCkpKUhJScGePXtw4cIF1NTUoE+fPgCkL56kpCT8+OOPHh5BIiJl/vvf/+LixYuYOnUq/vd//xd333237Ue+1c8//4zZs2fbHmu1WkRHRyM3N9fldh9//HG7LgiHDx/G5s2bYTQaAQAvvvgiampq7Lq1yclzMiDl24KCAluB/cUXXwAAKioqoNfrsX79epjNZjz00ENYtWqVbb0OHTrY/v/111/HTz/9hK1btyIiIgKnTp3CH//4R9x///2YN2+e3f7mzZsHnU6H+fPn2670mc1mdOjQAdu3b8e2bduwbNkyAIDRaMTXX3+NAQMGuDweFNhYIJNfcPZr3hlrAj1w4AB+/fVX7N+/H3q9Ht988w369u3r8vKX/PkbbrgBpaWl0Ov1tudHjx6N0aNH4/777wcgFarV1dUOcVksFnz//feYO3cu+vTpgzfffBMajQYLFizAF198gRdffNEhYd5222244YYbcMstt6B79+648cYb0blzZzz77LP461//irlz52LJkiU4cOAAxo8fj23btik6FkREniovL8djjz2G0aNHQ6fTwWKx4MMPP3R65axv3762//c0RwPS1bPvvvsOFy5cAABkZmaiuroa1113ndN16+fvrKwsBAcH2xpGPvnkE7z88st2/aTNZjPMZrPDtk6ePIn169dj06ZN+OGHH9C1a1f89NNPeOCBB/CXv/wFDz/8sMM6O3bswPLly5Gfnw+j0YjBgwdj1qxZOH78OIKCglBQUAAA6N+/P1atWoW0tDRFx4QCEwtk8hsrV67Em2++6fLv8hs8VqxYAVEU0alTJ9x8883417/+BUBKXGPGjLFL0mVlZXZ9kDUaDQwGg9tYBEFwaM2wPn///ffDaDTi0qVLiIqKQlRUFJYuXYpFixahqqrK4YskLy8P48ePxx/+8Ae0a9cOVVVV+L//+z/Ex8fjk08+wV133QUAuHDhAmJiYpzul4hIDVOmTEFlZaWtVbawsBAPPfQQXnjhhQbXzc/PR0JCgsu/l5SU4IknnrA9Tk9PR3p6OubMmYPDhw/jiy++QHBwMF5++WWsXLkSX375pW1ZZ0VuQ3kakAp3Z8X7W2+9hTfffBMREREYNmwYzp8/jxkzZmDXrl0IDQ2FVqu1W76mpgYLFy7Ev//9b7zzzjvIyMiAVqvF+PHj0a9fP5SUlEAURQiCgAsXLqBTp062Y0gtE99d8huzZ89Gfn6+y//q37S3d+9eXLhwAadPn8aKFStsz2/atAnnzp2z/ffkk082Kp6amhqH4eYEQUBWVhZef/113HLLLVi8eDGOHDmC8ePHo6ioCBMmTMCiRYvsLiF+/PHHGDp0KF5++WXodDoMGDAA77//Po4fPw6TyYRDhw4BkArkxMTERsVKRNSQ3bt3Y//+/XY34p0/fx7r169Hz549ERsbi549eyIhIQGpqalISkrC6tWrbcsmJCS4zdEPPvig0/1+9tlnAIAFCxagqKgIAHD33Xfb5em9e/c26jWJoojKykrU1NTYPf/3v/8dW7duxYQJEzB27FgcO3YMy5cvR0REBFatWoVRo0YhJyfHtvypU6ewc+dOfP/996ipqUF6ejqeeeYZ3HPPPdiwYQOCgoKQm5sLURRRVFSEzp07NypeChxsQaaAtWbNGrRv3x7h4eH45z//6bL/cX2dO3d2aOktKirCZ599hunTp9ueM5vNCA0NxaVLl2zPjR8/Hh9//DEsFguuueYa/Prrr1i/fj3KyspQVVUFQRDw448/4j//+Q/ee+899OzZE9OmTQMg3WC4du1a5ObmIiwsDN9//z2ef/55/M///A+qq6uRnZ1t64tMRKS2a665Br/88otdf+ODBw+iffv2yM7ORkREBM6cOYPrr78eGzdutPXxbYpt27bh3LlzAKR7N/785z9j1KhRDa43d+5cvPHGG3YtvZWVlSgtLbW7gdt6v8hHH32EO+64AwCwefNm3HvvvaioqEBSUhISEhIwevRolJWVoby8HKIowmKx4Oqrr8YLL7yAyZMno1u3btiyZQv0ej1uvvlm/P3vf0dQUBBuuOEG/OlPf4LZbMaPP/4Is9mMzp07K2rdpsDGFmTyGytXrkRCQoLL/+RdLI4ePYpPP/0UkydPRmRkJDZt2mS7eeTWW2+1Gz5o6dKldvs5c+YMLl68aNdyodFoEBUVhd9++w1lZWUoKytDZWWlXXEMSC0gO3bswLFjx7Bp0yZs2bIFgiBg/fr1KCgoQEFBAS5cuIBRo0bh8uXLAIDFixcjPj4et9xyC6qrq5GSkoKwsDDs3r0bjzzyCAYMGIBvv/0WO3fuxDXXXNO8B5mIWjV5YVdaWuowvnB98oYEaxcLV/+99dZbDus/++yztoaHpUuXol+/figsLMR7771nl6frNw4sW7YMly5dsmtlHjp0KARBwKpVq2x5ury8HNXV1bbiGABuueUW/Oc//8GhQ4fw/fff4+OPP8Zdd92Fq6++GqdPn0ZBQQHOnz+Pjz/+GBcuXIDZbMaxY8eQkJCAyMhInD59GjNnzkR0dDT69++PtWvXYvjw4diyZQvzdCvCApn8hiddLJ544gk89dRTtsHcU1NT8eKLLwKQ7nS2Js+ysjKHO5XlLBYLHn/8cYwbNw533XUXRo0a5XaGqD59+mDjxo146623EBcXh+joaAQFBcFgMODy5ctIS0vDp59+igULFmDIkCEApEt9p06dQnR0NI4cOYJz586hR48e+Mtf/gIAmDRpEp5//nn8+uuvGDp0aJOPIxGREu+88w6GDx+Os2fPon///rhy5QoGDRqEQ4cO4bbbbnOYCMTTLhYffPABSkpKbM8LgoB169YhPj4eEydOtMvTWVlZbmPdvHkzfvrpJ3z66ad4/PHHbd02nGnbti30ej0effRRaDQadOjQwdbvODg4GNOmTcO0adNwzTXXYO7cuQgKCkKvXr1QVFSEcePG4YUXXsC5c+fw7LPPYvTo0WjTpg3GjBmDzMxMvPbaa7j11lsbecQpkLBApoC0Zs0aPPXUUw7Pu5rlSD4YvlVpaSkmTZqE3377Da+88gpWrFiB6OhoDBo0CO+//77DOqIo4plnnsEnn3yCjIwMh+1FRkbi8ccfx8SJEzF79my7S5M7duxAeHg4Jk2ahPvuuw9GoxEjR44EAGRkZGD//v0YPXo0QkNDPToORESNceXKFaxcuRKPPvoo4uLicODAAYSFhWHv3r3o1asXPvvsMzzwwANN2sedd96J//73vw7d3zzJ0wDw/vvv47777sO//vUv/PnPf8Yrr7yCO++8E0888QQKCwsdlt+zZ49tZCJnNxXOnDkTP/74I6699lqcOnXK9nx5eTlOnDiBt956C48++igWL16MWbNmAZDGwR89ejQOHDiAsWPHKj4GFLhYIJNfqK6uVtTFwnojRteuXaHRaGCxWOySqtlsdtrFQn7TXGFhIVavXo2ePXvCaDRi27ZttlnxPv30U4wZMwb33nsvunfvjtmzZ9tu1Lv77rvx6aefYteuXUhLS0NeXh5++uknFBQU2L4AHnjgAWRmZmLDhg34z3/+Y9vnbbfdhmPHjiE9PR1fffUVwsPDcfPNN6O6uhrz5s1DfHw8Nm/ejB9++MEbh5uIWjGz2QxRFPHqq6/a3RhcXV2NmpoaVFRU2CZssg69Vl1draiLhfxmOa1Wi8TERFuOtv5rNpuddrGQ52mz2Ywvv/wSI0aMwLx587Blyxb86U9/AgDcf//92LRpE9577z0kJSXhrrvusk1osnnzZqSnp2PdunWYPXs2SktLceDAAduQoIB0xXHHjh2IiYmxFcCANHnUDz/8gI0bN+LDDz9E//79MWrUKBw+fBiZmZn4/PPP0bFjRzz99NOqvyfkh0QiP/Dggw+KCxYscLtMu3btxEOHDtk9N3/+fHHMmDG2xykpKeK2bdvsllmwYIE4efJkURRFsaamRrz55pvFq6++Wvzvf//rcl979uwRx40bJ2ZkZNiey8rKEouKimyP16xZIxoMBnH48OFiWVmZ3fqFhYW2/7948aL47rvvisOGDRNHjBgh5ubmiqIoiu+++67Yr18/cdSoUeKVK1fEN998UzQYDOLixYvdHgcioqZYvny5+Oijj4qiKIonTpwQExMTRVEUxS1btojV1dXi3r17xbfeekvs3bu3uGvXLlEURXH79u225VyZOXOm+MQTTzg8f/LkSRGAWFpaKoqiKC5evFi877777JbJyckRNRqN7fHbb78tRkVFic8995x45coVp/srKioS58+fL/bo0UP8/fffRVEUxYqKCnHfvn12yxgMBrF79+7iN998Y7e+0Wi0bbu6ulrctm2bOHXqVLHm/x7MAAAgAElEQVRbt27iRx99JIqiKO7du1ecPHmyGB8fL/70009iXl6emJCQII4YMUI8c+aM2+NBgU0QRRfXOogCQGlpKaqrqxEVFQVAGpi+ffv2bke0qKioUKUrQ3V1tcNU186cOnUKCxcuxJQpU3D99dcDkC4xzps3D2lpabjnnntsy37zzTcoKyvDnXfe2eT4iIgay2g0QqvVqjLWb01NDc6dO4e4uDhoNBqUlpbCbDajffv2btdTK1dXVlYiJCTE7TJmsxlPPvkkevXqhUmTJtluZvz222/x+eefY/78+YiIiAAAXLx4Ea+99hqefvppxROoUOBhgUxEREREJMM+yEREREREMiyQiYiIiIhkWCATEREREckE5FTTZ8+e9Xid6Ohop+Ml+jvG7V2M27taW9xxcXHNEI3veJqLW9v77WuM27sYt3c1dx4OyALZE6LFDBzaj7JL5yBGdQKuGghBw7tOiYi8hXmYiAKNqgVycXExVq5cieeee87p32tqarBixQqUl5fjpptuws033+z0ObWIFjMsLy0Aco6j3GQEdHqgayo0sxYxORNRi+VPuZh5mIgCkWp9kMvKyrBmzRoYjUaXy3z55ZdITk7G4sWLsXv3blRWVjp9TjWH9gM5xwFjFSCK0r85x6XniYhaIL/LxczDRBSAVGtB1mg0mDVrFpYvX+5ymaysLEycOBEA0KtXL5w8edLpc3379rVbLzMzE5mZmQCAZcuWITo6WlFMZZfOSS0WciYjQorOIVzhNnwtODhY8ev1J4zbuxi3d/lz3P6Wi5mHfYdxexfj9q7mjlu1AlnJbDdGoxGRkZEAgPDwcJSUlDh9rr709HSkp6fbHivtlC1GdZIu5xmr6p7U6VEZ2QlVAdIhvbV1nvc1xu1drS1ub9yk52+5mHnYdxi3dzFu72ruPOzVYd4MBgNMJhMAoKqqCqIoOn1ONVcNBLqmolIELCIAvQHomio9T0TUSnk1FzMPE1EA8mqBnJycjOzsbABAbm4uYmJinD6nFkETBM2sRXi1PBgfm7TQPDyHN4YQUavnzVzMPExEgajZhnk7fPgw8vPz8cc//tH23I033ojnn38eR48exe+//47u3bsjMjLS4Tk1CZog7K/W4BC0uCdtsKrbJiLyd/6Qi5mHiSjQCKKqfRoaVlRUhOzsbPTv39/WV87Zc+54Ojj9uHHjoNVq8f777zcqZl9qbX2DfI1xe1dri9ufJgrxdi5mHvY+xu1djNu7WtxEIZGRkRg6dGiDzxERUfNhLiYics2rfZCJiIiIiPwdC2QiIiIiIhkWyEREREREMiyQiYiIiIhkWCATEREREcmwQCYiIiIikmGBTEREREQkwwKZiIiIiEiGBTIRERERkQwLZCIiIiIiGRbIREREREQyLJCJiIiIiGRYIBMRERERybBAJiIiIiKSYYFMRERERCTDApmIiIiISCZYrQ2tW7cO+fn5GDhwIMaOHevw96+//ho7d+4EAJSXl6N79+548MEHMX36dHTs2BEAMHnyZHTp0kWtkIiIWh3mYiKiplOlQN69ezcsFguWLFmCtWvXoqCgALGxsXbLjBgxAiNGjAAAvP3227jxxhuRl5eH6667Dvfee68aYRARtWrMxURE6lClQM7KysKQIUMAAGlpacjOznZIylZFRUUoLi5GSkoKvvrqK+zfvx9ZWVno0qULpkyZgqCgIId1MjMzkZmZCQBYtmwZoqOjPYpPq9VCEASP1/MHwcHBjNuLGLd3MW51+XMuZh72PsbtXYzbu5o7blUKZKPRiMjISABAeHg4cnJyXC775Zdf2lovUlJSMH/+fLRv3x6rV6/GL7/8gkGDBjmsk56ejvT0dNvjwsJCj+Krrq6GVqv1eD1/EB0dzbi9iHF7V2uLOy4urhmiqePPuZh52PsYt3cxbu9q7jysyk16BoMBJpMJAFBVVQWLxeJ0OYvFgqysLPTp0wcAkJiYiPbt2wMAkpOTUVBQoEY4REStEnMxEZE6VCmQk5OTkZ2dDQDIy8tDhw4dnC6XnZ2N7t27QxAEAMCqVauQm5sLi8WCvXv3IjExUY1wiIhaJeZiIiJ1qFIgDx48GNu3b8eGDRuwa9cuJCQkYOPGjQ7LHThwAL169bI9HjduHFavXo05c+YgNTUV/fr1UyMcIqJWibmYiEgdqvRBDg0NxYIFC3Dw4EHccccdiIiIQFJSksNyGRkZdo+7dOmCFStWqBECEVGrx1xMRKQO1cZBDg8Px9ChQ9XaHBERNQJzMRFR03EmPSIiIiIiGRbIREREREQyLJCJiIiIiGRYIBMRERERybBAJiIiIiKSYYFMRERERCTDApmIiIiISIYFMhERERGRDAtkIiIiIiIZFshERERERDIskImIiIiIZFggExERERHJsEAmIiIiIpJhgUxEREREJMMCmYiIiIhIJlitDa1btw75+fkYOHAgxo4d6/B3s9mM6dOno2PHjgCAyZMno0uXLvjggw/wyy+/ICUlBQ899JBa4RARtUrMxURETadKC/Lu3bthsViwZMkSnD9/HgUFBQ7L5OXl4brrrsPChQuxcOFCdOnSBadOnUJ2djaWLl2Kdu3a4eDBg2qEQ0TUKjEXExGpQ5UCOSsrC0OGDAEApKWlITs722GZEydOYP/+/Xj66aexbt06mM1mHDlyBNdccw0EQXC5HhERKcNcTESkDlW6WBiNRkRGRgIAwsPDkZOT47BMSkoK5s+fj/bt22P16tX45ZdfUFVVZbvMFx4ejuLiYqfbz8zMRGZmJgBg2bJliI6O9ig+rVYLQRA8Xs8fBAcHM24vYtzexbjV5c+5mHnY+xi3dzFu72ruuFUpkA0GA0wmEwCgqqoKFovFYZnExERotVoAQHJyMgoKChzWE0XR6fbT09ORnp5ue1xYWOhRfNXV1dBqtR6v5w+io6MZtxcxbu9qbXHHxcU1QzR1/DkXMw97H+P2LsbtXc2dh1XpYpGcnGy7JJeXl4cOHTo4LLNq1Srk5ubCYrFg7969SExMdFgvJiZGjXCIiFol5mIiInWoUiAPHjwY27dvx4YNG7Br1y4kJCRg48aNdsuMGzcOq1evxpw5c5Camop+/fqhZ8+eyM3NxTvvvINPPvkE119/vRrhEBG1SszFRETqEERX19I8VFZWhoMHD6J3796IiIhQvJ7JZML+/fvRtWtXWx+4hpw9e9aj2MaNGwetVov333/fo/X8QWu79OFrjNu7Wlvczd3FAvDfXMw87H2M27sYt3c1dx5WbRzk8PBwDB061OP1dDodrr32WrXCICJq1ZiLiYiajjPpERERERHJsEAmIiIiIpJhgUxEREREJMMCmYiIiIhIhgUyEREREZEMC2QiIiIiIhkWyEREREREMiyQiYiIiIhkWCATEREREcmwQCYiIiIikmGBTEREREQkE+zrAIioZREtZuDQfohnTkLonAJcNRCCJsjXYRERtRrMw03HApmIVCNazLC8tADIOQ6YjBB1eqBrKjSzFjE5ExF5AfOwOtjFgojUc2i/lJSNVYAoSv/mHJeeJyKi5sc8rAoWyESkGvHMScBktH/SZIR45pRvAiIiamWYh9XBApmIVCN0TgF0evsndXoInZN9ExARUSvDPKwO1fogr1u3Dvn5+Rg4cCDGjh3r8PeKigq8/PLLsFgs0Ov1mDVrFgRBwPTp09GxY0cAwOTJk9GlSxe1QiIib7tqINA1FZVHD0IPQGMwAF1TpefJK5iLiVo55mFVqFIg7969GxaLBUuWLMHatWtRUFCA2NhYu2W2b9+O22+/Hf369cMbb7yBAwcOIDIyEtdddx3uvfdeNcIgIh8TNEHQzFqEVyfehaQgERMem8O7p72IuZiImIfVoUqBnJWVhSFDhgAA0tLSkJ2d7ZCUR44cafv/0tJStG3bFidOnMD+/fuRlZWFLl26YMqUKQgKcnwDMzMzkZmZCQBYtmwZoqOjPYpPq9VCEASP1/MHwcHBjNuLGLc6DkGPQ2Zgxi23ul3O3+JWyl/j9udczDzsfYzbu/wtbubhJm5fjY0YjUZERkYCAMLDw5GTk+Ny2ePHj6O8vBypqanQaDSYP38+2rdvj9WrV+OXX37BoEGDHNZJT09Henq67XFhYaFH8VVXV0Or1Xq8nj+Ijo5m3F7EuNVRXV0NoOHPqr/FrVRj446Li2uGaOr4cy5mHvY+xu1d/hY387BzSvOwKgWywWCAyWQCAFRVVcFisThdrqysDG+//TaeeOIJAEBiYiK0Wi0AIDk5GQUFBWqEQ0TUKjEXExGpQ5VRLJKTk5GdnQ0AyMvLQ4cOHRyWqampwcqVK5GRkYGYmBgAwKpVq5CbmwuLxYK9e/ciMTFRjXCIiFol5mIiInWoUiAPHjwY27dvx4YNG7Br1y4kJCRg48aNdsts3boVOTk52LRpExYuXIidO3di3LhxWL16NebMmYPU1FT069dPjXCIiFol5mIiInWo0sUiNDQUCxYswMGDB3HHHXcgIiICSUlJdsuMGDECI0aMcFh3xYoVaoRARNTqMRcTEalDtXGQw8PDMXToULU2R0REjcBcTETUdJxJj4iIiIhIhgUyEREREZEMC2QiIiIiIhkWyEREREREMiyQiYiIiIhkWCATEREREcmwQCYiIiIikmGBTEREREQko9pEIUREREREzogWM3BoP8QzJyF0TgGuGghBE+TrsFxigUxEREREzUa0mGF5aQGQcxwwGSHq9EDXVGhmLfLbIpkFMhEFLCUtEoHWakGtF89VarEO7ZeKY2OV9NhYJT0+tB9IG+zb2FxggUwtPim39NfXWilpkQjEVgtqnVr6uco83LqJZ04CJqP9kyYjxDOnIMgKZH86T1ggt3K+SMre/ACo+fr86YNLUNYi4UGrBd9f8ikftLCpdc43tB21v2f4WfU/Db0nQucU6X23nt8AoNND6Jxstw1/+pHIArm183JS9nrBqtLra+k/JAKRkhYJT1ot/CkxU+uj9FxVbX8qnfOKtqPi94y3P6uedOMqu3QOYlSnVperFb0nVw0Euqai8uhB6AFoDAaga6r0vJXC88Rbx5sFsooCsaDxdlL2dsGq2usL4B8SLZWSFgklywDwu8RMTROIuVjxuaoWtXKagu2o+j3j4We1KeeAp924yk1GoAXm6gaPpYL3RNAEQTNrEV6deBeSgkRMeGyO45UGJY0eXjzeLJAhe/OP/AJ0ige694Gg0dRbxgKcyAIK8oHYBIdlRIsF4rurgd/z6j5I8YkQJk132JYnaiqvQLx8uQmvzX3cCGsDaHX2J6VWB4SFQzx7utH7Ky2+BEtElONxytpv/wUAAMYq6djHdHSxUccnxGOHgVPH6uI2VgGnsiF+9wWQ2rdu0dBwQKsFTCbZ69MCoWEQ83MddlVdXuL0eIuH9zmPO2s/EBVj//p/O1J3vLv1dn4uNbTM8cPAqey6uF28Puu2bMfbybaUUBJTvTXcb89YCYiAePqktKhoqV1FBCyW2oVEmC62g1hS7DqmU8eA82eBjnFAcg/7cykkBOgUj8qc36AXAI1OD3SMh2gIAU4ckZYxhAAd41GZ63oZABAP/OT8/T3wExAaZotH/OAt4Fw+yqtNLfKL0NdsufiXnUCHOKBrqvPPT85x4MJZp8uIFgvEj96RzuVqE0StDohNgDDuAY8/G9Z9lZQUwdIu0mk8nm7LZdw6HdAxDpW5J2Xnapz0/LFDqsct/rLT+Tn/yy7AYFC+LyXb0QQBwVqgWpaHg7WARgPRyWsznWsHsaSk0ftTeg40+J6czAZOZtfFbawCTmZD/HITkNJT8TKeaCgmj7ZVUSb928D54/Z4KziWnpxL+0oqsA/ABIMBOHHE/ptEwXni9Hg3U2OVagXyunXrkJ+fj4EDB2Ls2LGKl1GyXnOy+4VorJKKw9gEQP7m1ztBnC2Dk9lAfm7dm2YySo8P7nX4kCj5AFiXKS8pgtjIxKwo7k4JUpEhT8qd4qXnrzj/wCjZX6Wr/UVESs/LPwBaHdCuvWf7O/2bk1+aJuD0KSA+se652M5Ap4R6ry9Ber78iuNrCNY4fR7to5zHHRFpW17J8Vb0ngDA6ZP2Rb2T16foeCugOCZPmM3Sv5UVDSxXU7eshzEJADD2frzyt7lI0gqYcN/d0ucEImAx1y0zzv0yAICYTs7f35hOdcudzAYKznglMTdFq8/FOcfr/g5I/xbkS8/LcrEnhXZVEz8Xis5njQYY94DjudqEfbmNu0Oc83O+Q6xH+1O0na6pQGy9PBybID3vKSX7U3AOKDqXLpy13491WxcK6s4lJcso1Cy5uKmUfJ7UOpeUnCfOjnczXfVWpUDevXs3LBYLlixZgrVr16KgoACxsbENLnP69OkG13Nm2scnPIqvsN+9EATB6Xp9LhzBfSeyYTDXvflV+fnY8NVRZEX1kJa5dAz35efDYHG9zMi8fNxabbKbmtBSbcLn+3/H15e62Z4TRAsePfQuEkt/h85igkmjQ17beKy9ahJEQeOwjNnFMtblehedQEJZAfLDY3Eksrvd35XEDQBC4l8QXrYdKdVFqO7SW9rOzxYAFo+Os5L9CWIyHg2LR+eSMzCINdJrC4vH2sJkiJdqlO+ruCPu0+jq9gWgSqPDhuIOyNpjvx1PXl9QcAnMNY5xKIlbyetX+p4oeX2K31+VzhNPXLr6YQDA9D3u31NXx9uTmLL6PQQA2HkpGbjk/H1taBkl76/Tz7ixClu+2ouvf4tw+zqtNj8Wp2i5xvLnXOwuDwPezcVK8rAn56CanzEl57M7yvOCOrlY6XbUyMNK96fkHFCUr5XkYQ++ixqidi5uah4GlH6elJ9LDcXU0Hni/HhrseGMAVkK85HSPKxKgZyVlYUhQ4YAANLS0pCdne2QXJ0tk5OT0+B6AJCZmYnMzEwAwLJly6DVaj2Kr3///hAEAaLoeFm4S3kBdGb7XyM6iwmdKy4gu2MfAEDnivPQWdwvc7ZdAkxBurrkDsAUpENBu3gEBdcd5t6F2Ui88rvtzTVYTEi88jv6lpzCkeieipcRRAseObABCcWnpRMySIfTbROwvv8DtsSsJG6riv63wHoRxtXvVEG0IOTgd+hWXYSapL44GpVq9yWgdH+vDZiMXpeOI/5KAX5vE4ujUanQCI57PXRcOtmvSu3u8LdjHXrh9NkEdCnNh85ssr3+Yx16IcjJtpS8Pnf7UxK3ktev9BgpeX1KtqX2edLQMbLq16PhliF32/IkJiX7UrJMQ++vs894dZAO59p38TgnNRd/zsXu8jDg3VysJMcqPQfV/ow1dK6qlYcBdXKxJ9tRIw8r2Z+Sc0DJcVKShz35LlLzvVNynJqahwHltY3Sc0BJTO7Ok/rHuzpIh9Ptk3Ai7iponeyvKVQpkI1GIyIjIwEA4eHhyMnJUbSMkvUAID09Henp6bbHL49K8jjG6OhoFBYWOjwv/voHWHK32vWf0Wh1+FP/WNyeUrtMuziI+faXDxyWsaRCLE6wuzRiiE3AlPRUyN8zcddZiPW+BAxmE6a0KYAwsKfyZU4eh1iWD4g1tr+nluXjpYjjEKyXkBTErZT10k/lxdpLH0ezHPshKd6fBkDP2v9cG/e/rwMAXrnnH07+qoE44IHaS6QFCOkQix5dU/FyE/oHPv/hG0jRB2H84PtcXNp0H7ei88SDY9TQ61O0P5XPE/fviWfG/e/rCA4Oxiv3PO/wNzXPXeUaeH+tn/Fz+UB1NaDTQ981FVMevNVv+iD7ey52lYcB7+ZiRTlW4TnozVysbh4G1MnFyrfTEGV5uOH9KToHFB0nJd8zdcvoSy8jqG17p99Far93auVid3lYiltZbaPWOdCwuuMdGmJAZWQn9LxqIF7y11EsDAYDTLX9JauqqmCxOF4ycbaMkvWaXe3QI1K/NyOg0wGJ3YDrhgO2frqdgcP7gbzfpH6gTpYRAGDGQuDor8DZPCAuEeiV5vjh7tkf2LvDvv+sTg/0TJPWUbrM4f3Sl7RcdTVQVVm3jIK4Fcv6BTj3O0I0Qu2+TMC534GSYqDPAMf9WftPNXZ/AKCr7dwflwiHm8JEUTrm8v7GDXLeciVaLBBf/wdmttdCLwDiZx8AiSnAlDme9fvqGAcc3gfknZQd7xRg6M11r1/JMrWk19dF2f5sx7vetg7vc36eVJZLfbs8jAk6vfSvdV3A9f16olj3H0T7x6IIBGshBAcDEVGO6w4YAvy6R+rHb71TOSFJer4pffFctF4qIQDAg09IidlUgcpI/xvFosXkYtnd6cIfx9Qd4+69IR791e0yAgDxby/W3nV/ShoFov77VFUF8ecf7W8s0hsgDBgCocdVivcFAOKJLKCm3mesphqwWDzeVoN+3Qvx/Fn7PHz+LASTqa7/pVr7khFCw6V/ra+nGYgWM8SXFmBmpBZ6AOLnH0pxN+ImWEXngMLjJABAr7QG94deaWjn5geg2u+dWu+JEBoOjVbrcjuKjqWXWY93eHQ0qlwdbxWoUiAnJycjOzsbqampyMvLQ1ycY/8OZ8tERUU1uF5zsw494u7NFwCIT/69wRNEAIBrb3S/w6uvh/jjN44fgKuvr9uekmW69Yao/6xegtdDSOkFoU1bj+JWQiwscH4jQuE5p/sLKTrX5AJCqL18Y91+s/l1L8TTpxBirbtMRuD0KQh5nnX6l17/EgXnkvtlGrM/l8e7Wx+I+s8dz5NufSC0be9xTEKwdEndum5jiRYz/hCmRYpWkH5oOTtOTy3zq6RsjQtxnZs9MTdWi8/FCpaxLoe0wa4/vy6KcfmYrPJ9uctnioYbVBh3Q5QMg6U0br9TO1RYSG392NSbYBs6B9R6T5Ty9L1zF5NoMWOg1oKkIBHir3ub/f1t8PPUQqlSIA8ePBgLFizA5cuXceDAAcycORMbN27EPffc43KZJUuWAIDT57xNyZuv1gni6ZeAywSnIMGrGrfCMTqt+/PXAsIZNcfo9Oa5JN+Wy+Ot4nmiVlK2jlYwI6wGegCWN/7hdLi01pqUm4K5WPl+PCm03eYzL+Zi5mF1eTPHePreuYpJaf6kplOlQA4NDcWCBQtw8OBB3HHHHYiIiEBSUpLbZUJDQwHA6XMtnSdfAq4SnLd//Sr9EghEXh+g34tUa7lSMymr3FJEdZiLlfNmo4dqmIcDl1rvnYr509rokaI1eaUlOtCoNg5yeHg4hg4d6vEyStYj57z669fbBbk3teAvHUCl80TNpOyDlqLWhLnY+7yVi5mHA5c3u9ko2g5bohvEmfRIsZZ6yTtg++x5kardUFp6SxFRM2IeDlze7GbTIF7JaxALZPJLvroJIZD67HmTqkVtC28pImpJvJmLmYcVUCl/8kpew1ggk9/hpR8/pGJR2xpaiohaAuZi/6NWVw1eyWsYC2TyP7z043fU7vvIliKiAMBc7JdU6WbDK3kNYoFMfoeXfvxTS+37SETOMRe3XLyS1zAWyOR3eOmHiMj3mItbNl7Jc68Jc7YSNRPrpR+9ARAE6V9e+iEi8i7mYmrF2IJMfqdFj/VJRBQgmIupNWOBTH6J/V2JiHyPuZhaK3axICIiIiKSEURRFH0dBBERERGRv2g1Lchz5871dQiNwri9i3F7F+NuXQL1uDFu72Lc3sW4nWs1BTIRERERkRIskImIiIiIZIIWLly40NdBeEtycmAObs64vYtxexfjbl0C9bgxbu9i3N7FuB3xJj0iIiIiIhl2sSAiIiIikmGBTETUgLKyMhw8eBClpaW+DoWIqNXyZi5uFX2Q161bh08++QTFxcXo3bu3r8NpkNlsxrRp0/Dzzz/ju+++Q3JyMtq1a+frsBpUXFyMpUuX4qabbkJNTQ2WL1+Or776CgDQtWtXH0fnmjzuoqIizJo1y3bsBw78/+zde1yUZfr48c8Mw1EUQzTFMyWeFRFUoE1t0c5ZplabudnBMutb2WZa+VXr58p6qjyWtrab+9q2E+uW3+2wWLoGHkAkkkDNPAJqhogcB2bm98cwwwwwMANzeuB6v16+ak7PXPcwXF7ez3XfTzT+/v6eDtFKeXk5q1atYs+ePRw4cICxY8fyzjvveP13vLG4lfA9Ly0tJSkpCX9/f7Zv305cXBzbtm3z+s/b2ygtD4Myc7HkYfeRXOxe7s7Fbf5S0wcOHECv17N8+XI2bdpEYWEhPXr08HRYTTp9+jQJCQnMnDnT06HYrbS0lI0bN1JVVQXAl19+SUREBDNmzGDFihXExcURGBjo4Sgbqh/38ePHmTp1KpMnT/ZwZLbt3buXO+64gxEjRrB161ZSU1MV8R2vH/eOHTsU8T0/c+YMs2bNIjIyktLSUo4cOaKIz9ubKDEPg/JyseRh95Jc7F7uzsVtvsUiJyeHuLg4AEaOHEleXp6HI2re8ePHyczMZNGiRWzevBmdTufpkJqlVqt5/vnnzck3JyeH+Ph4AAYPHsyJEyc8GZ5N9eM+fvw4u3bt4qWXXuLvf/+7h6Nr3M0338yIESMAKCkpYe/evYr4jtePW61WK+J7PmTIECIjI/nxxx85ceIEWVlZivi8vYkS8zAoLxdLHnYvycXu5e5c3OYL5KqqKkJDQwEIDg7mypUrHo6oeddddx2LFy9mxYoV6HQ6Dh8+7OmQmhUUFERQUJD5tlI+9/pxR0VFsXTpUlasWMHx48c5ffq0B6Nr2rFjxygrK6NLly6K+KxNTHGPGDFCMd9zg8FAWloaHTp0QKVSKerz9gZKyQf1KS0XSx72DMnF7uPOXNzmC+SAgAC0Wi0AlZWV6PV6D0fUvL59+3LNNdcAxj3+CgsLPRyR4+p/7krZTXDgwIEEBgaiVqvp16+f1372paWlbNu2jblz5yrqO24Zt5K+5yqViscee4w+ffpw7NgxxXze3kJJ31FLSvqONkbysOtJLnYvd+biNl8gR0REmKfdT58+Tbdu3TwcUfPWr1/PqVOn0FIwDagAACAASURBVOv1pKen07dvX0+H5DDLz/3UqVN07drVwxHZZ/ny5Vy+fJmqqiqys7Pp06ePp0NqoKamhrVr1/K73/2Orl27KuY7Xj9upXzPd+zYwZ49ewDj4pYpU6Yo4vP2Jkr5jtanlO+oLZKHXUtysXu5Oxe3+UV6sbGxLFmyhMuXL5OVlcXy5cs9HVKzpk2bxrp16zAYDMTExJh7hZRk/PjxrFixgtzcXPLz8xkwYICnQ7LLtGnTWLZsGRqNhkmTJhEeHu7pkBr45ptvOHnyJMnJySQnJzNhwgT27t3r9d/x+nEPHTqUDRs2eP33PDExkTfeeINvvvmG3r17M2bMGMXlFE9TYh4G5ediycOuJbnYvdydi9vFlfRM++YNGTKEzp07ezqcdqOoqIi8vDyioqKs+suE88l33L3k83acfGaeIXnYveR77l6u/LzbRYEshBBCCCGEvdp8D7IQQgghhBCOkAJZCCGEEEIIC1IgCyGEEEIIYUEKZCGEEEIIISxIgSyEEEIIIYQFKZCFEEIIIYSwIAWyEEIIIYQQFqRAFkIIIYQQwoIUyEIIIYQQQliQAlkIIYQQQggLUiALIYQQQghhQQpkIYQQQgghLEiBLIQQQgghhAUpkIUQQgghhLAgBbIQQgghhBAWpEAWQgghhBDCghTIQgghhBBCWJACWQghhBBCCAtSIAshhBBCCGFBCmQhhBBCCCEsSIEshBBCCCGEBSmQhRBCCCGEsCAFshBCCCGEEBakQBZCCCGEEMKCFMhCCCGEEEJYkAJZCCGEEEIIC1IgCyGEEEIIYUEKZCGEEEIIISxIgSyEEEIIIYQFKZCFEEIIIYSwIAWyEEIIIYQQFqRAFkIIIYQQwoIUyEIIIYQQQliQAlkIIYQQQggLUiALIYQQQghhQQpkIYQQQgghLEiBLIQQQgghhAUpkIUQQgghhLAgBbIQQgghhBAWNJ4OQAhvFxERQXFxMX5+fk0+r6KigjFjxvCf//zHTZEJIUT7IHlYuJvMIIs2IyMjg5iYGAICAhg5ciSpqanmx3755RfuvvtugoKC6N27N1u2bLH7uH5+fiQnJ3P+/HnOnz/PggULeOKJJ8y3TX/eeust/P39XTE0IYTwert370alUqFSqfDx8WHAgAH8+c9/Nj9uekylUhEeHs78+fOpqqqy69iSh4W7SYEs2oSSkhJuu+02oqKi+PHHH/nNb37DnXfeSXFxMQAzZ87k3LlzZGZm8tprrzF37lz27Nlj17EtZyyOHj3Kq6++yptvvkn37t3p3r0748aNQ6fTAaDRyEkZIUT75ePjw+XLlykoKGDlypU8/fTT7N271/z4F198wa+//kpycjL//ve/WblypV3HlTws3E0KZNEm7Ny5k5KSEtavX09ERASrV6+msrKSnTt3kp+fz9dff82qVasYNGgQs2fPZvz48Wzfvt2uY6vVxl+TixcvMmXKFHr27MnPP//M0aNHCQoKYunSpfj4+LhyeEIIoRidO3fm2muv5Z577uHmm29m586d5seCg4MJDQ1l3LhxPPnkk1aPNUXysHA3+WeWaBO+//57IiMjCQwMBCAgIIDrr7+eH374gS5dugAwcuRI8/OHDRvGgQMHHHqPNWvWMGPGDEJCQrjxxhvp1KkTc+fO5ZZbbnHeQIQQog3x9fWlurra4cdskTws3EVmkEWbUFRUREhIiNV9ISEhXL58maKiIvPt+o85IikpiRdffJHq6mouXLhAbm4uV65c4ezZs60fgBBCtDGHDx8mJSWFxMTEBo+dP3+e999/v9HHmiJ5WLiLFMiiTdLr9S16zBadTsd9991H7969OXbsGK+99hr79u2joKCAgQMHMnbsWHP/mxBCtFc6nY7OnTsTFBREfHw8zz33HLfddpv58VtvvZVOnTrRs2dPevfuzeLFix06tuRh4S7SYiHahLCwMPOM8N69e/n8888pKioiNDSUsLAwAPPjjzzyCL169SI0NNTu4/v4+DB//nw2b96Mn58fU6dOZdGiRbz44osUFhZy+vRpMjMznT8wIYRQEB8fH7KysvDx8SE8PLxBX/B7771HbGws1157LQEBAQ4fW/KwcBcpkEWbEBUVxdq1aykrK8PX15cNGzag0+kYMWIEI0eORKVScfjwYeLi4khLS6OmpoYZM2Y49B7jxo0DYPHixSxatIjg4GAuXbpESEgII0aMkMQshBBAv379bD7WvXt3+vbt2+JjSx4W7iItFqJNuOOOOwgNDWXevHmEh4fTv39/OnXqxF133UX37t25/fbbWbBgAefOnePuu+/mypUrPPLII3Ydu6amxvz/5eXlVFZW8sgjjzBlyhSysrKsniun94QQwvkkDwt3kwJZtAkdOnRg586dHDlyhAEDBqDX67ly5Yp5hfR7771H3759GTVqFCkpKQQHB/Prr7/adWzLVdZBQUGsWrWKkydP8pe//IWBAwfafK4QQgjnkDws3E1lMBgMng5CCFfYuXMnd9xxR6OPffnll0yaNMmufTOvu+46zp49a96H0xadTseNN97Irl27WhSvEEKIxkkeFu4mBbIQzTh37hxhYWEOLygRQgjhHJKHhbtJgSyEEEIIIYQF6UEWQgghhBDCgtsL5NLSUrKzsykpKXH3WwshhKgluVgIIWzzWbp06VJ3vVlpaSlJSUn4+/uzfft24uLi2LZtGzt27KC4uJghQ4a4KxQhhGi3JBcLIUTT3HqhkDNnzjBr1iwiIyMpLS3lyJEj6PV6li9fzqZNmygsLKRHjx7NHqegoMDqdlhYGJcuXXJV2G4hY/AOMgbPU3r8YHsM4eHhHoimIVflYhOl/wwlfs9T+hiUHj8ofwytzcMeWaT3448/8uGHH3Lttdcybtw4oqOjSU1NRavVMnHixAbPT0lJISUlBYCkpCS0Wq3V4xqNxmoTcSWSMXgHGYPnKTn+Dz5Q87//68PZs9C7N7z2mo4HHtCbH/fz8/NgdA05OxebKPlnCBK/N1D6GJQeP3jvGJrLsya24rc3D7v9UtMGg4G0tDQ6dOiASqUiNDQUgODgYE6ePNnoaxITE0lMTDTfrv8vAqX/KwdkDN5CxuB5So0/OTmQBQtCqKhQAXDmDMydq+bq1atMnVoBeM8MMrgmF5so9WdoIvF7ntLHoPT4wTvHYE+eNWntDLLbF+mpVCoee+wx+vTpw7Fjx8wzEJWVlej1Df8FIIQQSpCU1JGKCuuUWlGhJimpo4ciaprkYiGE0rgzz7q1QN6xYwd79uwBjNdSnzJlCnl5eQCcPn2abt26uTMcIYRwmoKCxq/KaOt+T5JcLIRQInfmWbcWyImJifz3v/9lyZIl6PV6xowZw969e/nrX//Kvn37iI6Odmc4QgjhNOHhOofu9yTJxUIIJXJnnnVrD3JwcDCLFy+2um/JkiVkZ2czZcoUgoKC3BmOEEI4zcKFV2t74+rmHQID9SxceNWDUTVOcrEQQoncmWc9fiW94OBg4uPj6dy5s6dDEUKIBpKTAxkzphu9evVgzJhuJCcHNvq8qVMrWLnyCj171qBSGejZs4aVK680WDjirSQXCyE8wd4cC+7Ns27fxUIIIbxNcnIgSUkdKSjwITxcx8KFxhXRdSumjXMJ+fkaFiwIAWg0IU+dWsHUqRVeufpbCCE8xVk51nS/OyYepEAWQrRrTSXoplZMK2VmWAghPEmpOdbjLRZCCOFJTSVoJe1MIYQQ3kipOVYKZCFEu9ZUglbSzhRCCOGNlJpjpUAWQrRrTSXohQuvEhhofdEMb92ZQgghvJFSc6zdBfLFixcBOHfuHGlpaVRVVbksKCGEcJemErTSd6YQQghPU2qOtWuR3ttvv42Pjw/33nsvy5Yto1evXnz33XcsWLDA1fEJIYRLmRJxYyusTY97Q7IWQgglUmqOtatAPnToEFu2bCElJYVbbrmFqVOnMmfOHFfHJoQQbuGtCVoIIdoCJeZYu1osAgICOHz4MGlpaQwfPpxff/0Vf39/V8cmhBBOUX8j+kWLOtm9Mb0QQoimtcUca9cM8qxZs/jggw8YNGgQkZGRvPDCCzz44IOujk0IIVrMtDF9fr4PKhUYDCrAuAfn++93AOpuN7cxvRBCCGttPcfaVSDHxsYSGxtrvr1mzRqXBSSEEK1Vf2N6g6H+M1RWt7xlY3ohhFCC9pBj7d7FIj09nX/+859UVVXxxRdfoNN5fo86IYSwZDrN98wznRtsTN8cb9iYvjklJSWkp6cDsHv3brZu3cq5c+c8HJUQor1o6znWkl2j27JlC1999RU7d+7Ex8eH3Nxc3n77bVfHJoQQdjPNaOTna6g/e2EPb9iYvjlr1qzh119/5dSpU+zYsYOQkBDWr1/v6bCEEO1Ae8ixluwqkNPT03nppZfw8fFBo9Hw3HPPkZ2d7erYhBDCbo1dztQ26/OB3rIxfXMKCwu55ZZbyMrK4rbbbmPGjBkUFRV5OiwhRDvQHnKsJbtGGhoaSmFhISqV8V8Mx44dIyQkxKWBCSGEPUyn/PLzmz59p1IZAONG9LNmlXnlxvTN6dKlC3/729/49ttvGTFiBGlpaXTp0sXTYQkh2rjk5MB2kWMt2bVI7/HHH2fNmjWUlJQwf/58qqqqeP75510dmxBCNKn+QpHGGejZ03pjeqMSV4fndM888wxfffUV9913H927d2fHjh089dRTng5LCNGGmfKs7baKtpNjLdlVIF9//fWsWbOGgoICAMLDw9Fo7HqplfLyct588030ej3+/v48//zz5kUm0dHR3HvvvQ4fUwjRfjV3yi8wUK/ImQtbwsPDmT17tvn2k08+2aLjSC4WQtirqTzb1nKsJbuXIGo0Gvr06UOfPn1aVBwD7N27lzvuuINXX32Vzp07k5qail6vZ/ny5Vy4cIHCwsIWHVcI0T7ZXhWt3NN6TSkpKeEvf/kLK1asoLy8nNWrV3Pp0iWHjyO5WAhhr6bybFvLsZZUBkPD3evcYc2aNVRUVHDbbbcRHR1NamoqWq2WiRMnNnhuSkoKKSkpACQlJaHVaq0e12g01NTUuCVuV5ExeAcZg+c5Ev+AAb6cOdPwtF+fPgaOH692dmh2szUGPz+/Vh339ddfZ+DAgfznP/9hy5YtfPnll+zfv59ly5a1+JjOzMUm7ek76I2UHj8ofwxKjx/qxuCtebY5rc3DNqeCN23a1OyLW9r7duzYMcrKyujatSuhoaEABAcHc/LkyUafn5iYSGJiovl2/RmTsLCwFs2ieBMZg3eQMXieI/G/+GLDHuTAQD0vvniFS5c8N6thawzh4eGtOu6ZM2d49dVXSUlJQaVSceutt7Jjx44WH8/ZudikPX0HvZHS4wflj0Hp8UPdGLw1zzantXnYZoE8ZMiQlkfVhNLSUrZt28YLL7zAzp07zTMQlZWV6PV6l7ynEKLtMV3mtKJChY+PAZ0OGwtF2o7rrruOXbt2AcZ2i5SUFPr169eiY0kuFkI0pz3mWRObBfKECROc/mY1NTWsXbuW3/3ud3Tt2pWIiAjy8vKIjIzk9OnTrZ5dEUK0D/V3r9Dp6vbZbMtJe+7cubz33nvodDqee+45RowYwdy5cx0+juRiIURzPvhA3S7zrEnLVtu10DfffMPJkydJTk4mOTmZCRMmsHfvXi5fvkxWVhbLly93ZzhCCIVqbFV1RYWapKSObTpxh4SE8Nxzz7X6OJKLhRDN+d//9aGiwrr3uD3kWRO3FsiTJ09m8uTJVvfFxMSQnZ3NlClTCAoKcmc4QgiFsrWq2vZq67bB1mK8JUuWOHQcycVCiOacPdv4/W09z5q4tUBuTHBwMPHx8Z4OQwihIOHhOvLzG6av8HCdB6Jxn+nTpwNgMBj49ddfSUlJITo62inHllwshLDUuzecOdPw/raeZ01sFsg7d+7kjjvuAOCTTz5p9DnTpk1zTVRCCNGEhQuvNrqqeuHCqx6MyvXqL55OSEhg5cqV3H333R6KSAjRVr32mo65c9XtLs+a2CyQLbdH9tBWyUII0ShT/1tSUkcKCnwID28fq6rrb1l06dIlLly44KFohBBt2QMP6Ll69Wq7y7MmNgvkO++80/z/ptN6QgjhLaZOrWg3idpkyZIlqFQq86RFUFCQnMkTQrhMe8yzJh7vQRZCCGGfjRs3ejoEIYRoF9TNP6Wh8vJy8vLynB2LEEI0Kzk5kDFjutGrVw/GjOlGcnKgp0MSQog2JTk5kAEDfNt1nrWrQH7hhResbvv7+7N69WqXBCSEELaYLhCSn6/BYFCRn69hwYKQdpm8hRDCFUx59swZVbvOs3a1WFy9ar1i8fLly/j6+rokICGEsKU9XiBk3rx5qFSqRh8zGAyoVCo2bNjg5qiEEG1Ve8yzjWmyQP7444/NW7zdd9995vs7duzIzJkzXRuZEEJYSE4OJD/fSy8QUlGBX3Y2funp+GVkoPqf/wEn7U+8dOlSpxxHCCGa49V51s2aLJCnT5/O9OnTmTNnDlu2bHFXTEIIYcV0yg8an0l198b16gsX8MvIMBfEvkeOoKquBqD6uutQlZQ47b26du3qtGMJIYQt3pZnm1RRgW9eHtWjRrnsLexqsRg/frzLAhBCCFuSkwNJSupYO6PReNJ2+cb1Oh2avDxjQVz7R1N7eSlDQADakSMpfeIJtKNHUx0Tgz40lLCwMKi3Z7EQQnij5ORAFi/uRHGxGo/l2Waof/nFOCFR+8c0KVGYk4Ohc2eXvKddBfL06dNJT0+nvLzc6n4pnIUQrrJoUSe2b++AwdB4wjYysHLlFaf2xalKS/HLzMTXNEOcmYm6tBQAXbduaGNiKJs9G21MDNXDhoGfn9Peuzl6vZ7s7GyuXLlivq+wsJD777/fbTEIIdqORYs68f77HbBVGBs5P882Sa9Hc/x4XUGckYHm1CljJP7+xkmJOXPQxsRgCAhwWRh2Fch//OMfKS8vp2/fvlaLRaRAFkK4QnJyoB3FMfTsqWtd0jYY8Dl3zpyE/dLT0eTlodLrMahU1AweTMXUqWhjY9HGxKDr3RtsLJhzh7feeovKykqOHj1KTEwMOTk59OvXz2PxCCGUy5Rnmy6OnZBnm6GqqMA3K6uuIM7MRF1cDICuSxe0sbGUPfSQcVJi+HDw93dZLJbsKpDPnj3L1q1bUatbtG2yEELY7YMP1Dz3XOdmi2MwOH7KT6vFNyenriA+dAif8+cB0AcHo42OpvK554wF8ahRGDp2bNkgXCQvL4933nmHDRs2cMstt3DPPffw9ttvezosIYTCJCcH2pVnXdFaob540Wp22PeHH1DV1ABQPWAAFbfdhjYmBm1sLLr+/T02KWF3D3JKSgqTJ092dTxCiHYsOTmQl17yQadrPiF27qxvdlZDVVSE36FDdf3DWVmoKisBqOndm6r4eLSjR6ONjaVm0CDw8e5V2sHBwWRlZTFo0CAOHz7MnXfeSX5+vqfDEkIoiGkxXnN51sfHCa0Vej2aY8es2yVOnwYs1nA8+aSxIB49GkNoaMvfy8nsKpBPnjzJV199xb/+9S+6detmvn/JkiUuC0wI0f4kJXWkvLz54jgwUM/rr9fbKcJgQHPiRF3vcEYGvj/9ZHxIo6F6+HDzaTptTAz67t1dMQSXevzxx9m9ezezZs3i5ZdfZseOHdLqJoRwSGP7HNfn62tg61YdkyY5VhyrKirwPXzY6iydunbNhC4szNguMWsW2thYY7uEG9dwOMruRXrOVFxczNq1a3nttdeoqalh9erVlJWVMXHiRG666SanvpcQQjls7b9pZACM/XALF15l6q1F+O3/3tw77HvoED6XLwOg79wZbUwMFdOnGwvikSMhUJlXgdLr9eb2tkGDBjFo0CAA3njjDUpLS+nYijYQycVCtD/N5dkOHQwkJV3hgQc6NLsZj/rCBet2iSNH6tolIiOpuOOOunaJfv08uobDUXYVyEOGDKGqqsrqinoFBQUtesPS0lI2btxIVVUVAF9++SURERHMmDGDFStWEBcXR6BC/yITQjjGensh23x8DGxZlsfdXfcaC+JtGfg+b9G3dv31VN58s3FWIiaGmuuuU1Qibsrs2bMZOnQow4YNY9iwYfTp0wcAlUrVquJYcrEQ7Yc9udbHx8CbbxZbtFR0sH5Cc+0SUVHGdonYWGO7xDXXuGg07qEyGAyG5p702Wef8dlnn1FWVkaXLl349ddf6datG2+99ZbDb2jaKm7lypUsXbqUP/3pTzz44IP06tWLHTt2cP311zNs2DCr16SkpJCSkgJAUlISWq3W6nGNRkNN7V+USiVj8A4yBvd55hkftmxpfN9NNTqGcYQEUoknjSlhqXS8dAowJmJDbCyGcePQx8VhGDsWwsLcG3wzbP0M/FpwOrGgoIC8vDzy8vLIzc2lsrLSXCwPHz7cqu3NEa7IxSZK+Q7aIvF7ntLH4E3xN5VrTVQqA++9p+OBB/Tm+zRaLbp9+1Dt24c6LQ3VgQOoaneXMFx7LYa4OGMOjo/HEBXlde0Src3Dds0gf/HFF2zatIm1a9cya9YsCgoKSEtLcyzSWkFBQVa3q6qqCK1tyg4ODrba39MkMTGRxMRE8+1L9eb8w8LCGtynNDIG7yBjcK2GsxjGhN2REsZywFwQj2M/nTCesSqgB5qx0VyJ+b1xhnjo0IaJ2MvGa+tnEB4e7vCxwsPDCQ8PN7c8XL58mdzcXL799lu2bNlCWFgYGzdudPi4rsjFJt78HbSHxO95Sh+Dp+O3lWttMRjg5hE/UPqXutlh1ZEj+JrO0g0ciPb2242zw7Gx6Pr2tT5L58SrhzpLa/OwXQWySqWivLycwYMHk5eXx4QJE5y2tVBAQABarZagoCAqKysJcOGmz0IIzzCtmq6oMCbUfpwinjRzQTycH/BBjw41PzCc7TxEGvGkkkBNeE8ObvnFwyPwvDNnzpCbm2v+ExQUxM0339xglrelJBcLoXzWubaJGWP0DCWHBFJJIJUbfVLpHn0SqGuX0M+fT/GwYcZ2CRddrc6b2VUg33333axdu5Z58+axZMkSdu/eTY8ePZwSQEREBHl5eYwbN45Tp04xadIkpxxXCOEddnzkwwd/yOMJ3X5zQRxOIQAldGQ/43idxaSSwAHGcpVO5teqVAbWLSr2VOheISkpiaNHjxIUFMTQoUMZPXo0v//977nGyf19kouFULbk5EDmzw+hurphn3EQZYzhoLkgjmMfnTGeJTrPtZQNi+XKlIeMZ+lqrxAaFhZGlYJn8VvLrgJ58uTJTJw4EV9fX5YtW8bJkycZMWKEUwIYP348K1asIDc3l/z8fAYMGOCU4wohPENVVGTe3scvPZ3ZB77nKYx7D/9Mf77hJlJJII14jjAMPY2vqFapDDz0UJn7Lm/qpWJiYnj44Yfp7uJt6SQXC6FsSUkdzcVxDwrMxXACqYziMBp0ABxhKB9yX+0j8dzw0LWsSLpKmSeD90J2LdLbs2dPo/c7a//NoqIi8vLyiIqKatAX15j6O2h4utfHGWQM3kHG4KDavYf90tPN+w/7njhhfMjXlws9R/D3U78hlRvYRxyFNNX7ZUClMvbCmbdyU2hx7MweZHdqbS42UfrvkcTveUofg1vj1+nQHD3KkknHSKhtXevPKQDKCeQgY8yl8j7iKMbYLnHNNXpee63EZp5tqz8Dp/Yg5+TkAGAwGCgqKuLHH39kzJgxTiuQQ0NDiY+Pd8qxhBCuo6qowPf77+s2gc/IQF27qtm89/CMGWhjY/n45Fjm/aEHhmYWhxgZmDWrjBUrShSflJVMcrEQ3k9VXo5vZmbdYrr9h/CvvMpmoJDupJLAOv6HVBI4zChq8LV4dV2uFU2zq0B+6qmnrG6fOXOGzz77zCUBCSG8h/r8efOFOPwOHcL3B+u9hytuucVq7+HkfwZZLcZreuW08eRVc7MYQgjRnqkLC+smJdLT8c3JQaXToUdFDkNJ5QFSuYFUEjhJfxrmXcm1LWFXgVxfnz59uHDhgrNjEUJ4kk6HJjfXPDPsl5GB5uxZoN4m8DExxlXNtVuCQe3ikMQQqqubXjldx8D69cWSqIUQwpJOhyYvz6og1pw7B4A+IIDqUaP4fMh8Nv8wgX3EcYXmF+t27qwnJ0dqNkfZVSAvW7bM6nZRURG9e/d2SUBCCPdQXb2KX2Zm3axEZibqMuMyDd2116KNiaHskUds7j28aFEntm/vQN0qBvuvXNe5s16KYyFEu2fVLpGejl9mJuraqxab8/Bjj/HGwQn88d9xVO8ztUvYl29VKgOvvy7tFC1hV4E8ffp0q9uBgYH079/fJQEJIVzAYMDn7FnrWYm8PFQGAwa1mppBg6iYNs04Oxwbi65XL/Mm8MnJgSyYbtk2Yakll3OWhC2EaJ9stUsYVCpjHr77bv528kaSvruJUxf6wf+p4P9Mr3Y038pOQK3RZIFcWFhIZmYmFy5cQKvV4ufnR7du3Rg1ahQXL15s8SVOhRAuptXie+SI1WI6n4sXAdAHB6ONjqbittuojolBO2oUho4dGz3MxIlhHDvmS8sK4cYYF4hIwrbfJ5980uxzpk2b5oZIhBAOaa5dIjqa0qefNl6dLjqaT3d155lnQjDm29bmXFmM11o2C+Svv/6aDz/8kJEjR9KlSxeCg4Opqanh22+/5W9/+xuBgYG88sorXH/99e6MVwjRCHVRkXGbtYwMNN9/T4+MDFSVxr2Ha/r0oeqGG4yzwzEx1AwaBD6N7z18332hfPedf717nVEcG+jQwUBS0hUpjh1kuRPn2bNnOXHiBLGxsajVatLT0+nVq5cHoxNCmKjKyoztEhkZaLKy6H7gQKPtEqa2teTPOxkXNb9lmWOdk2+lOG49mwXyp59+yooVK6xmiQ8fPsyBAweYOXMmn3/+uRTHQniCXm/ce9h0ii4jw2rvYcOoUZQ9ZLwikjYmBv211zY4ROOFsInzZosBKYxbXlAYIwAAIABJREFUybLFbcGCBaxcuZIOHToAcO+99/Lqq696KjQh2jV1QYF1u8SPP5rbJQxDh1Jx993GPDxmDAs2DuH97cEW7RImzs23slOF8zTZYqHX661ujxo1ilGjRlFQUMDnn3/u0sCEEEaqigp8s7Kstlsz7T2su+Yaqi32HtaOGEFY796U1O4j7J5CuD5jopYZDOcrLS3ll19+MRfIly5dorL2TIEQwoUsd/mpXVCnyc8HQB8YSPWoUeZ2iZuXTOLQka5wBNhueRBX5FwDGg288YbsCuRsNgvk6dOn8/LLLxMVFUVYWBi+vr5UV1dz8eJFsrOzmTlzpjvjFKLdUJ8/b9U77HvkiPXew7feam6X+Pj7Ycx/oTPV/6mfeHtY/L+rCmFLxqJYrYaZM6UwdpXHHnuM5cuX06lTJwCKi4t54oknPByVEG2PqrTU3C5h3l2itBQAXffu7KmJ51/8hlQS+L5iJDVpvpBmdQQXRif51h1sFsiJiYkMGTLEvEivpKQEPz8/BgwYwP3330/37t3dGacQbVP9vYctFnEYAgJIV8WSUvMH0ohnH3EU/dQFfgI+sDyIOwpgS9ZXp1ep4KGHJEm7Q3R0NBs3bjRf4rlHjx74+9s6QyCEsJc6P99qdtjnyI/4oEePih8YTiozzZdrPn2+L85ZSGcPybee0mSLRXh4uN3XrBZCNE9VUoLf4cPmGWLLvYcL6FGbgONJI56syiiq8cP9BbAtBtRqeOstOZXnKVqtlpSUFAoKCnjwwQf58MMPmTZtGkFBQZ4OTQjlME1MpKeT8eb3RF7aTx+MF0UqpQN7GUsqd5PKDexnHCWEeChQA5GR1Xz77SUPvX/71qIr6Qkh7GAwkLL1Il8v+4GE2jng4fyAGgM61GQzgjRmkUoCaSRwGtOshLeom7mQWQvvsGHDBgICAsjMzGT27NkArFu3joULF3o4MiG80333hZL1nZZx7K+d/01jHPvpiLFdYhA9SSWB1fzB2C7BSHQeK43qcq4sbvY8KZCFcNDgwddSUqJucL8vWqLJJJ602oI4jVmcZxZQQkf2EUcyU0klgYOM4Sqd3B98owwN7pGC2Dvl5ubyzjvv8OSTT+Lj48OsWbOkB1m0O4sWdeL99zvYfLw3Z2qL4VTWkcYIss3tEtmM4P3aiYlUEjhDHzwzMdEw78rCZu8iBbIQtZKTA/mf//HFYOjR/JNR0YVLtc0QaSSQSizpBFAFwM/0J4VE0ognlQRyGIqexvcedp+GCRnghhuq+PDDIjfHIloiPDyc7OxsVLVXOfzuu++4tpFt/IRQsroLFDWVi42/Az7UMJwfzAXxDXxHb4zrOErpwH7G8f94lVQS2M84D0xMNMy7/v4GVq+W2WFvJwWyaHeSkwMtrlZUX+MzCSr0DOSouUM4gVQGcgwALb5kEs1G5tWWy/GcbzKxu1LjRTBIIdwWzJ07l/Xr11NcXMxDDz1Enz59ePrppz0dlhAt0pJcHMxVi3aJVKt2ibP0Ms8Mp5JANiPc2C4hExBtjVcUyJs3b+bcuXNER0dz7733ejocoXBNJ12Tpk+pBVJOLOnmgjiOfXTBmOQu0YU04tnGI6QRTwYxVBLovAE0yXYBDMZkvGuXmkuXZFFHW9S9e3eWL19OZWUlBoOBwEDnfu8kFwtna3ovdmguF1u2SySQam6X0KHmB4bzPrP4jhtIJYGz9HFu8FZs597GFi+HhYVJHlY4uwvkkpISCgoKGDBgAOfOnaNv375OCeDAgQPo9XqWL1/Opk2bKCwspEcPT82+CaVovgh2rKcsnHzzzHA8aYziML4Y9x7+kcH8k3tql3fEc4xIh4/vmMYTsf2bwYc5PyThFWpqatBoNAQEBDj92JKLRWuMHt2N8+dttZHZly99qGEE2VYFsfvbJRrPv9If3P6oDAZD01NSwDfffMNHH31EVVUVmzdv5sUXX+SWW27h9ttvb3UA27ZtIyoqiujoaFJTU9FqtUycONHqOSkpKaSkpACQlJSEVqu1elyj0VBTeyEFpZIxNBQVpSE3t+WzwLaYetYsC+J+nAagnEAOMsbcO7yfcRTRpUXv07hmf92YONHAl1+2/HNU+ndJ6fGD7TH4+fm16riPPvoob775Jh07dmzVcRrjjFxsovSfocTfOGfn5I6UWLVLjOWAG9olms7Bc+boWb9e1+p3Ufp3CJQ/htbmYbu+bR9++CErV67kxRdfJCAggJUrV/LCCy84pUCuqqoiNDQUgODgYE6ePNngOYmJiSQmJppv1z9t0RZOZbTHMTS3Etmo9TO1nbjCOPabC2LLJJxPOKkk8CbPkUoCWURRg68DR2++4LXUvbuOQ4cuNvu81nwVlP5dUnr8YHsMrd1XfuLEiaSkpHDPPfe06jiNcUYuNlH6z7A9x1+3QM6WluZkA33qtUsM5wdzu0Q2I/grvzc/6li7hP152J6eYGf86JX+HQLlj6G1ediuAtnPzw+NRmNeOV1VVYVa3XCbq5YICAgwz0JUVlai1+udclzhXWwXw85uVTDQn5NWi+mGccRq7+G/8nvzDHHTW/w0n3Q7ddKTm3vBqSMQwhY/Pz+++uor8vLyGDBggPn+adOmtfrYkovbH1fmZR9qGMn3VgVxL/IBuEow+xnH6ywmlQQOMLaZdommc7FcTEO4gl0F8tSpU1myZAkVFRW8++67ZGVlOW0BR0REBHl5eURGRnL69Gm5cl8bkpwcyLPPhqDXm5Kt8/t2/ahiFIetCuLuGAtW097DnzCNNOI5wFhKaezUdOPJ197ZXiHcRaVS8dvf/hYAO7rjHCK5uP2w7hd2Tl42namzbJcIxniV0DP0Zi+/MZfKPzDcRruE9P8K72FXgTxx4kQGDBjAkSNHMBgM3HzzzfTu3dspAcTGxrJkyRIuX75MVlYWy5cvd8pxhfs984wPW7bUX9Tj3KI4jF+IY5+5ILbce/gEEfyHSebFdHV7D1sm3YYJ2LIQVvopJdG2TZ8+3WXHllzcdjW+k0RrcrOBvpxu0C5hOlP3PSN5j9nmR8/R2+q11v+tI7lYeBO7O9579epFr169nB5AUFAQS5YsITs7mylTphAUFOT09xDO546WCRV6BpFntZjOcu/hQ4xmI/NIJYF9jLOx97BBZoJFm5Kens65c+e4/fbb2bVrF5MnT8bHp/UXoZFc3DYYc3NjF9loeW72oYYosqwK4p4UAMYzdfsZZ75KaN2ZusYnJmRfYKEUXrEPcnBwMPHx8Z4OQzSh8YLYubPDgZQzhoPmgjiOfYRyGTDuPZxKAttqZyUOMdpq7+Hu3XXkHyp0ajxCeJstW7Zw8eJFTp48yZ133klubi4///wz8+bNc8rxJRcrT3JyIPPnh1BdbZmPW5ebO3HFfKbO1C7RgXIATtOHPYyvfSSeHxje4CqhKpWBdevs2ZJSCO9ls0Des2dPsy8eP368U4MR3sf61JxzC+Jw8q16h6PIstp7+FOmmhfTnVAN4K11V3h2agXPAlBc+0eI9iM9PZ1NmzYxb948NBoNzz33HHPnzvV0WMIDrNd4uK5dIoso/swj5kfzMZ5JVqmoLYLl7Jxom2wWyDk5Oc2+WArktqnhjIRzVjQP5wergrgvZ4C6vYc/6DWf25cPRTt6NJ2vuYbbgbqNBM+3OgYhlC40NJTCwkLzjkLHjh0jJCTEw1EJd7I+m+d4btZQ3WB3Cct2iX3E8Wltu0S6aix/XFfDtKkV1O2TImfqRPtgs0B+6qmn3BmH8ALOm5GwXtEcT1qDvYfz+46l8yOPoo2JoXroUCJ9fYmE2uV2QojGPP7446xZs4aSkhLmz59PVVUVzz//vKfDEm5gffVQ+/Ozfe0S8XzHDXROGMAHH11hOPAkAFedPxAhFMIrepCF59W1UrSkMDYQwc9Wi+ks9x7+npH8lVlcGjiGue8PRtWzJ71UqtoNgIQQ9rr++utZs2YNBQXGGb/w8HA0GknjbZ39+dlAP05ZzQ6bcnENPnzPSP7Mo6TWtq7l06veHsJXXDwSIZTDocxaXl6OWq0mICDAVfEIN2q48M6+4tiPKqLJtCqITXsPX6FT7d7D99Jh0mhmbYike3AwU2tf2/oLeArRvjS1HsR0tTtpd2t77Gl101DdYHeJ8NoWiLp94O817y5RRjAaDbzxRjFvTK1A2iWEsM2uAvmnn35i48aN/PrrrxgMBq699lqeeuopIiIiXB2fcKLk5EAWLAihosKx1c5h/EI8aeaCOIYMq72Hd6kmET5jFDcsmEBZ166M8PFhRO1rnXspAyHaH8v1IEVFRRw/fpxhw4ahUqk4cuQI/fv3lwK5jWhu0iKEYqt2iTEcNLdLnKIv3zLRPDt8hGHo8WHWrDK2ryjB2C4hLRNC2MuuAnnjxo3MnDmT0aNHA3Dw4EHWr1/PG2+84dLghHM4sqjDtPew5WK6SI4DdXsPb/aZx8CHRxL99AgCu3VjYu1rDWFhzrmIvRDCzHI9yOLFi1m9ejVdu3YF4NKlS6xatcpToQknaDhxYfqvgf78bDU7PJQcc7tEFlG8y2PmRwswXvnwhhuqSN+l5tIl2V1CiNawq0Curq4mKirKfHvUqFFs377dZUGJlmt8lhhsFcZBlBFLurkgttx7+BfCSCOed3mUNOLxjx/O9o/L6Vv7Wr3rhiGEaMTFixdRq9Xm22q1muJi2e5QSWydydNQzSgOWxXEPWp37zG1rn3EDFJJ4CBjKCO49rXG83TWl2MOc9t4hGir7CqQr7vuOpYuXUpCQgIGg4HvvvuOgQMHmnvj5PSe5yQnB7J4cSeKi9UW99qeJe7JOave4VEcRlPbGZzDED6t7VdLI57jXI9areKtt4p5bmoF1J7KE0J4xowZM1iwYAEDBgwAjO1vM2bM8HBUojmLFnVi+/YOGMw9Zyo6c7lBu0QQxgtrnKQfu/ituVTOYWiDi3GAAbUa3npLLsghhCvYVSD7+/vTo0cPfv75ZwB69uwJ1PXGSYHsftazEI0XxD7UMIJsq4K4/t7Df+Il0ohnH3FcJrT2lY3NSAghPO23v/0to0aN4sSJExgMBh577DHCwmS20FvVbZ0JEfXaJYbwo7ld4jCj2MIc86OFte0SjZP8LIQ72FUgDxs2jJycHAwG6yVXsleyZ9T1FDdcwDGO/eaCeCwHCK7dTC2fcFJJYC3zSSOeLKKowdfi1QYk8Qrh/UJDQwkNDW3+icJzqqvZ+tRJrvz7EB/VLnA2tUsUE8I+4vgH95vbJcrp0MwBwZSfb7ihig8/LHJh8EIIsLNA3r59O9OmTcPf3998n+lKTsL1Gm+jgAhOWC2mMy3gMO09/B6za1NzPGfoQ8OZ5rp/8EhRLIT3e/bZZ/njH/9Ihw72FFTCXVTFxWSsP8Kx9w4zumofYzjIEot2iRQSzbPDPzKkkXaJxtTlZ39/A6tXX5FWCiHcyK4CeeLEiZw6dYrIyEirBSLCtSzbKPzQMo5Mc0Hc2N7DHzGDNOLN+102zph0O3QwkJQkCVcIJRk0aBAHDx5k4sSJzT9ZuIbBgM/p0/ilpxv/ZGTge/Qod0IL2iUafQNAJi2E8DS7CuQ9e/YwcOBAcnNzre6X3mPnspwp7spF4tjD0tpiuP7ew18zmbTa/S5tz0hYt8So1TBzpiRdIZTquuuu45NPPuHEiRPmhXogudiltFp8jxwxF8N+6en4/PILYGyX+C9xpPIgqdzgQLuEpbo8rVLBQw9JjhbCG9hVIA8dOpTo6GiZQXaB5ORA/vfVYHpcOUo8abxRWxDX33t4A0+b2yUu0L2JIxqTrSRaIdqen376iaFDh6LVaq0uICIFsvOoLl9GdfAgHXftMhbEWVmoKisBOKXuz179zbUX47iBHIZiwNG/E+sKYjmTJ4T3sqtAPnr0KEePHrW6T6VSsWHDBoferLi4mLVr1/Laa68BUFNTw+rVqykrK2PixIncdNNNDh1PqVTl5exf9yM5W78nunIfJ9jHNRj3Mv2FMFJJ4F0eI414MoihCnsu7W3gmmv0vPZaiSRbIdooZy2Mllxcy2DA59Qpq9lh32PHANBoNFQPG8b34x7mjYMT+br8Bs7rHW2XsHozmbgQQkHsvpJefYWFjl3DvbS0lI0bN1JVVWW+78svvyQiIoIZM2awYsUK4uLiCAwMdOi4SqAuKCBr4/fkf5zFyLJ9RJHFPei4B+Pew58wzdyv9hPXY8/ln62OrzbIXphCtGEFBQVkZmZy8eJFtFot/v7+dOvWjdGjR9O9e1NnlBpqz7kYrRbfH36oK4gzMsztEvpOndDGxJAROZ03D/6Wzy+OoSIrqPaFrV2UbpDdJ4RQGLsK5L1797J9+3auXLlivi8wMJC//OUvdr+RWq3m+eefZ+XKleb7cnJyePDBBwEYPHgwJ06cYNiwYXYf0yvV1OCbm2uciaidkdAUFHALxr2HDzCWP/ESqSSwn3EWew/by7qvWGaNhWjbvvrqKz788EOioqIICwsjODiY6upqjh8/TnJyMg888ACJiYl2H6/d5GKM7RKmQtgvPR2/7783t0vU9O1L1Y03oo2NRRsbS01kJMk7OtQujHZGK6ExV8vaDyGUya4C+R//+Ad/+tOfWLduHfPmzSMzM5P8/PwmX7NlyxYKCgrMt4cNG8a0adOsnlNVVWXezzM4ONiqALeUkpJCSkoKAElJSQ02xtdoNJ7bLL+4GNWBA6j37UO1bx+q9HRUZca9hwt9evJf3Q2kEUcqN/A9I+vtPewIA8HBsGGDjgceqH+R5w61fzzLoz8HJ5ExeJ7S4wfnjiE5OZmkpCS6devW4LELFy6wePHiJgtkd+ZiE4/8DA0G+Okncy5Wp6WhysszPqTRYBg1Cv2cOejj4zGMGwc9eqDB+Jfgvz5Q87+zfThzBpwxW9wwV/vhzss/y++Q5yk9flD+GFobv10Fsk6no0OHDgwdOpS8vDwSExN58sknmT17ts3XzJkzp9njBgQEoNVqCQoKorKykoCAxnttExMTrf4CuHTpktXjYWFhDe5zCVO/mmk24tAhNEePojIYMKjVVA8ZgnbGDFL18Tzzj0SOV/Wl5cm2bqa4/iyxO4baEm77ObiQjMHzlB4/2B5DeHjLelj1+vr/KK67v7k96d2Zi03c8jPUavHNzq7LxxkZ+NS+pz4khKrRo9FOmYI2NpbqqCgM9VtGap9rfVXSlvC+XN2Wf4eUQunxg/LH0No8bFeBfNNNN/GnP/2J3//+96xatYrMzEw6derkWKSNiIiIIC8vj3HjxnHq1CkmTZrU6mM6VVWVMQEfOtQwAXfsiHb0aCruuANtTAzV0dEYajfvf3RMN/Kr7PpoLdhOskKI9mv69Om8/PLL5hYLX19fqquruXjxItnZ2cycObPV7+H1uRhQFRU1bJeo7aOu6dePqgkT6tolBgww9jbYISmpo4MtFZKrhWgP7KriZsyYwaVLlwgLC2PevHkcP36cBx54oNVvPn78eFasWEFubi75+flW+3p6gvrSJasE7JudjUqrBWoT8PjxxgQcE0PNwIFWCTg5OZCkpI7k59tzhaT6DMyZo2fJkgtOGokQoq1ITExkyJAhZGZmcuHCBUpKSvDz82PAgAHcf//9Di/Sa4y35WIMBnxOnqy7GEd6Or4//WR8SKOhevhwyn7/e3M+1jfSftKUludrg1zAQ4h2QmUwGAy2HtTr9Wi1WvPptsLCQs6cOUPfvn2dkpQBioqKyMvLIyoqiqCgoOZfAFb9dNDC0wB6PZrjx62299GcOgWAwc+P6uHD0cbEGBPw6NFNJuC6U3T2zkI0nIGYM6eDok9lgPJPx4CMwRsoPX5wfouFOzgjF5s4/DOsqjLuLmGaHU5Px+fXXwFju4R29GhjLh4zBu3IkdCKHTZamq+VNFvcln+HlELp8YPyx+CyFovMzEzefvtt7rvvPn7729+yZ88e3n33XYYOHcrZs2eZPn06EyZMaHHgJqGhocTHx7f6OM1RlZfje/iwuXfY79Ah1LULUXShoWhjYyl/8EFjEh4+HGz04NWXnBzIc891Rqezr38tMFDPypWNbQzv+UV2Qoj2y125GOxol5g4sUXtEs1xXr4WQrR1Ngvk9957j5dffpl+/fpx+fJltm3bxrPPPktMTAxXrlzh1VdfdUqB7Crq/Py6BJyRgW9ODiqdDoDqyEhj73DtrISuf3/jpeeaYDolV1DgQ0iIHpUKLl9Wo1KBwdBcsjXOQPTsqWPhwquSbIUQ7Y4mN5cOf/6zdbuEry/Vw4bVtUvExqLv2rXV7yX5WgjRWjYLZJ1OR69evQD49NNPiYyMJCYmBjDugayt7c31CjU1VquZfTMy0NSe+tMHBlIdFUXpvHnGlonRozF07uzQ4eufkisurutbs92gUqdnTx0HD1506D2FEKItUZeWEvjFF8bFzdOmGQviVrZLNMYZ+frnn/WKPrUshGg9mwXyrbfeyiuvvEKnTp04duwY/+///T8A9uzZw+7duxk9erTbgmyO7/DhdP35ZwB03bujjY2l7MknjbtLDBkCvi3de9jI8VXOdQID9SxceLVV7y+EEEqnHT2a8z/84LR2CVuck6+l5U2I9s5mgXznnXcybNgwzp49yxNPPGHebLmwsJCEhARuuukmtwXZHN0f/kAJUB0Tg65nT6cc0/IUnT2zDtbkFJ0QQlhxYWHs/HwtBbIQ7V2T27z179+f/v37W913//33uzSgltA/+iiVTjwd5vgq5zqyqEMIIdxH8rUQwhUcvZpFm2Q5+xAerqO8XOVQslWpDBgMMmMshBCuJvlaCOEOii+Qk5MDWbXKl7NnexAe3nTCq59YTb3BlrMP+fkaLPcptmZApcK8Krq4WN3sewohRHvXWO5tLmdKvhZCeJKiC+S6U2vGbXvy8zUsWBAC0CAB1j8NZ3puQIChkdmHxrcBkt0ohBDCMbZyLzTM0829RvK1EMJdXLuc2MUaW61cUaEmKamj3c+9fNnWR2A9KyG7UQghhOMcydPNvUbytRDCXRRdIBcU+Nh9v63n2tK5s56ePWtQqQz07FkjCzmEEKIFHMnT9jzWGMnXQghnU3SLRXi4rrYHreH99j63c2c9VVXWizwCA/W8/nqJJFghhGglR/J0c6+RfC2EcBdFzyAvXHiVwEC91X22Tq3Zeu7rr5ewcuUVmX0QQggXcCRPN/cayddCCHdR9AyyKSmuWtWZs2dpcoWy6T5bK6klwQohhPM1l3tb8hrJ10IIV1N0gQzGRDlnTgcu2XGhkKlTKySxCiGEm7Uk90q+FkJ4kqJbLIQQQgghhHA2lcHg+JXrhRBCCCGEaKvaxAzywoULPR1Cq8kYvIOMwfOUHj+0jTG0htLHL/F7ntLHoPT4QfljaG38baJAFkIIIYQQwlmkQBZCCCGEEMKCz9KlS5d6OghniIiI8HQIrSZj8A4yBs9TevzQNsbQGkofv8TveUofg9LjB+WPoTXxyyI9IYQQQgghLEiLhRBCCCGEEBbaTIFcWlpKdnY2JSUlng5FCNGOSS4SQgjlaxM9yKWlpSQlJeHv78/27duJi4vD39/f02HZrby8nFWrVrFnzx4OHDjA2LFjUauV92+X4uJi/vjHPzJx4kRPh9IimzdvZseOHRQXFzNkyBBPh9MiSv4ZtIXfA6Xnotao/90rKiri+eefJyMjg927dxMdHe31n0X9MdTU1LBy5Uq++uorAPr37+/J8Oym0+mYN2+e+bOPiIggJCTE02HZTcm5WOmfveXvgBK//5bxtzYHKf5S0wBnzpxh1qxZREZGUlpays8//0xUVJSnw7Lb3r17ueOOOxgxYgRbt24lKyuLmJgYT4flkNLSUjZu3EhVVZWnQ2mRAwcOoNfrWb58OZs2baKwsJAePXp4OiyHKP1n0BZ+D5Sei1qqse/e8ePHmTp1KpMnT/ZgZPZrbAxffvklERERzJgxgxUrVhAXF0dgYKAHo7TP6dOnSUhIYObMmZ4OxWFKz8VK/uzr/w4o7ftfP/7W5iBlTc/YMGTIECIjI/nxxx85ceIEkZGRng7JITfffDMjRowAoKSkhE6dOnk4Isep1Wqef/55r/7laUpOTg5xcXEAjBw5kry8PA9H5Dil/wzawu+B0nNRSzX23Tt+/Di7du3ipZde4u9//7sHo7NPY2PIyckhPj4egMGDB3PixAlPheeQ48ePk5mZyaJFi9i8eTM6nc7TIdlN6blYyZ99/d8BpX3/68ff2hykyBnkLVu2UFBQYL49bNgw7r33XtLS0ujQoQMajXcPq7H4p02bxrFjxygrK1PEX6q2xqBUVVVVhIaGAhAcHMzJkyc9HJHjgoKCPB2CUyjp96AxBoNBMbmopez5/Y+KiuLee+/F39+f119/ndOnT9O3b193h2qTPWOonxeuXLni1hjtVX8sQ4cOZfHixVxzzTVs2LCBw4cPK+ZsjNJz8XXXXafYz77+3yFK+f6b1I+/tTlIkdl7zpw5jd7/2GOP8Y9//IOMjAzzv3q8UWPxl5aWsm3bNl544QUPROQ4Wz8DpQoICECr1QJQWVmJXq/3cETtk9J+DxqjUqkUk4tayp7f/4EDB+Lr6wtAv379KCws9KoC2Z4xmPJCUFAQlZWVBAQEuCEyx9UfS3V1tfmzj4iIoLCw0BNhtYjSc3Hfvn0V+9nXp5Tvvy2tzUFtosVix44d7NmzBzAu9FHaTFpNTQ1r167ld7/7HV27dvV0OO1SRESE+VTe6dOn6datm4cjan/awu+B0nORMy1fvpzLly9TVVVFdnY2ffr08XRIDrPMC6dOnVLM93L9+vWcOnUKvV5Penq6V/3DpDlKz8VK/uzrU+r336S1OUiRM8j1JSYm8sYbb/DNN9/Qu3dvRo4c6emQHPLNN99w8uRJkpOTSU5OZvLkyW1y1smbxcbGsmTJEi5fvkxWVhbLly/3dEjtTlv4PVB6LnKmadOmsWzZMjTAytIlAAAKeUlEQVQaDZMmTSI8PNzTITls/PjxrFixgtzcXPLz8xkwYICnQ7LLtGnTWLduHQaDgZiYGHNvvxIoPRcr+bOvT6nff5PW5iC5kp4QtUz71w4ZMoTOnTt7OhwhhBcoKioiLy+PqKiodn1GwJ0kF3uP9vz9lwJZCCGEEEIIC22iB1kIIYQQQghnkQJZCCGEEEIIC1IgCyGEEEIIYaFN7GIhnOuzzz7j888/p7y8HI1Gg5+fH88++yyXLl0iJyeHefPmeTpEK++99x4DBw5s9Y4HH330EQAzZsxo9rkZGRls27aNqqoqJk2axP3339+q93ZEWloaR48eZfbs2Vb35+Tk8PHHH7N06VK3xSKEcA3Jw83nYU/67LPPALjrrrus7t+9e7dX/nyE46RAFg3cdddd3HXXXWzcuJEBAwaYr2O+e/duj8VUVlbG7t27uf322xs8Vr9QdLXS0lI2bNjAokWLCA8PZ9GiRQwePNjpW3r93//9HxMmTKBDhw5W98fHxytu+zMhhGMkD3uHjz76qNFivX5hLNoeabEQilBWVsa///1vT4cBwJEjR+jZsycDBw6kY8eOxMfHc+jQIae/z7///W/KysqcflwhhGgJb8rD7vLJJ594OgThITKDLByi0+lYt24dWVlZDBkyhBdeeAGVSsW3337Lp59+ilarZcaMGSQmJgLG01BffPEFfn5+PPzww4waNQqAefPmMXfuXD799FO6dOnC008/DdDocd566y2ys7MpLS3l8ccfp1+/frzyyivmmDZu3MjQoUOZMGGC+T7T+wI88MAD3HjjjYBxNmDXrl2o1Wqr+x1x8eJFqysKhYWFkZmZycWLF1m2bBkbN240vxcYTxUePHiQ7du3o9VqGTt2LI888oj5+bfeeiv/+te/CAkJ4dVXX2X//v18+umnlJSUsGjRItRqNRs2bMDf3x9w7BReYWEhmzdvJj8/n8GDB/PMM8/g7+/P0aNHefvtt7l69SrXX3898+fPx8/Pz+HPQgjhfpKHjf7xj3+wa9cuevXqRWlpKQ8//DCAVauZZVxff/01//znP9Hr9dx6663cfffd5ta0iIgI9uzZQ69evXjllVf46KOPzFfFfPzxx+nYsSNr1641v7cjrSA//fQTW7ZsoaioiNjYWObMmYNKpSI9PZ3333+fiooKoqOjefLJJ1GrZd7SW8hPQjjkwIEDxMfHs2nTJo4ePcqpU6c4e/YsO3fuJCkpiZUrV/Lxxx9TXFxMdnY2e/bsYdWqVbz44ots2rSJ4uJi87G2b9/Offfdx6OPPgpg8zjPPvssK1asICwsjK1bt1ol5cZkZ2fz3//+l9WrV7Ns2TLeffddKisruXTpErm5ubz11lssX76c7du3t+gz0Gq1aDR1/7b09fVFq9U2+ZqUlBTmz5/Ppk2byMnJ4dy5c4BxE/bi4mLeeecdwsLC+O6777jlllvYunUrYWFhrFixgq1bt5qLY0etX7+ee+65hy1bthAUFMR//vMfwHhJ5JtvvpmtW7fSr18/Tp482aLjCyHcT/IwHD16lNTUVN58800eeughzpw50+TztVote/fuZfny5axbt47PP/+cyspKAI4dO0a3bt145513KC8vJysri5kzZ7J161YAtm7dalUcO6KmpoZ169bx1FNPsWnTJi5evEh6ejoAH374IQ8//DBbtmxBo9Fw8eLFFr2HcA2ZQRYOiYiIICYmBoDw8HDK/3979xfSZB8FcPw7p6ZuI7Gahbj5Z9Vi6YQojNakIISgBG3dCBWRxYiBlYEQK6G6DqKMiG4Kuu0iuxX6hwWBA/uzsPXH1rRsq6nb2lzbeyE9zPf1tXdq1Evnc+Mufpzn+FwcfjvPefaLRhkaGuLjx48cOXIEmCpEgUAAj8fD5s2b0Wq1aLVaVq5cidfrpb6+Hpia4TKbzUrsJ0+ezBgn25OUPB4PNpsNjUaDRqPh2rVrABQUFLBv3z56enp4+vQp4XB4Tvdg0aJFTE5OKtdKJBI/7L46nU76+vq4efMmIyMjhMNhli1bhkqlwuFwkJOTQ1VVFdFodE45zSQWi+Hz+eju7gYglUopG3uz2Uxvby/fvn3Dbrf/L48BFuJPJXUYBgcHqaurQ6PRUFVVRUVFxYzrvp+Flp+fz+HDh7l79y5er5eJiQnGxsYAWLx4MY2NjahUKoxG44LW4UAgwOjoqHJkdjKZxO/3s2HDBsxmM7du3SIYDNLS0sKSJUsW7Lpi/mSDLLJSWlqqfFapVMBUAbLb7bS1tQFTG7O8vDweP348a6y/n+v+b3Hm6+HDh6xatYoPHz7Q3d2Nw+GgoaFhzm8Zl5aW0tfXB0BPTw+hUAiLxfKPdaFQiJKSEiKRCJ2dnezcuZPm5malKAMUFxfPuTv8I+l0mry8PKULkkwmlU53U1MTVquVgYEBTp8+jdPppLa29qfkIYRYWFKHp/7vzIOAU6nUjOs+f/4MwMjICKdOncLhcLBnzx7evXunrNHr9cp9/P53oaTTaZYvX865c+eAqS8c33M9cOAAL168YGBggM7OTk6ePEl5efmCXl/MnYxYiKzMVDzWrl2Lx+Phy5cvxGIxjh8/jt/vp66ujvv37xOJRHj//j0vX76c1qn4r3EAdDod4+PjxONx4vH4rCMNVquVBw8eEI1GCYVCXL16lZycHAYHB6mursZms9Hf3z/ne2CxWAgEAni9XrZt24bf72fdunUUFRUxNjZGIpEgFArx6NEjYKowq9VqGhsbSSQSvHr1Sok1WzHW6XR8+vSJdDrNxMRE1nkWFRVRXl7OvXv3ALhx44YyN3f27Fm+fv3Kjh07sFgs+Hy+rOMLIX4NqcOwevVq+vv7iUQi+Hw+ZcSisLCQYDBIOp1maGiIZ8+eAfDmzRv0ej1bt24lEAgQDAaVWD+qw6OjoySTyTl1lsvKyojH4zx//pxUKsWFCxfo7e0F4OjRo5SUlNDc3ExZWRlv377NOr74eaSDLObNYDDQ0tLCiRMnSKVSbN++XXncZbfb6ejoID8/H6fTOetjutniFBYW0tTUhMvlIp1Oc+bMmWldlExWq5XXr19z7Ngx1Go1e/fupbi4mPr6eu7cucOhQ4fYuHEjBQUFBAKBrMcLNBoNLpeL8+fPE4/H0el05ObmotVq2bJlC263m6VLl7Jp0yYAjEYjRqORgwcPYjKZMBgMDA8PT3vRbya7d+/m4sWLxGIx9u/fj81myypPAJfLxaVLl7h+/TqVlZW4XC5gqoN8+fJlxsfHWbFiBa2trVnHFkL8Pv60OmwymWhoaKC9vR2DwaDkWFlZicFgwO12o9frWb9+PQA1NTXcvn2btrY2amtr0ev1DA8PT3ufZCatra243W4mJyfp6OhgzZo1WeWZm5tLe3s7V65cIRwOU1NTo/xk365du+jq6iIej2MymZSxGfF7UKUzn1EIIbLm8/moqKhArVb/6lSEEOKP1NXVhcPhmHHcTYi5kA6yEPNUXV39q1MQQgghxAKSDrIQQgghhBAZ5CU9IYQQQgghMsgGWQghhBBCiAyyQRZCCCGEECKDbJCFEEIIIYTIIBtkIYQQQgghMvwFN4yqabt0KGEAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 720x576 with 5 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ts_resid=pred_error\n",
    "ts_plot(ts_resid, lags=30)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 147,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-17T14:02:46.038152Z",
     "start_time": "2019-09-17T14:02:46.031166Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(Timestamp('2014-10-01 00:00:00'), Timestamp('2014-10-31 00:00:00'))"
      ]
     },
     "execution_count": 147,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "start=df.y.index[n]\n",
    "end=df.y.index[2*n]\n",
    "start,end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 149,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-17T14:03:22.269445Z",
     "start_time": "2019-09-17T14:03:22.252492Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2014-10-01 00:00:00    25.004306\n",
       "2014-10-01 01:00:00    26.606655\n",
       "2014-10-01 02:00:00    26.914813\n",
       "2014-10-01 03:00:00    27.210168\n",
       "2014-10-01 04:00:00    27.493251\n",
       "2014-10-01 05:00:00    27.764571\n",
       "2014-10-01 06:00:00    28.024618\n",
       "2014-10-01 07:00:00    28.273860\n",
       "2014-10-01 08:00:00    28.512745\n",
       "2014-10-01 09:00:00    28.741705\n",
       "2014-10-01 10:00:00    28.961152\n",
       "2014-10-01 11:00:00    29.171480\n",
       "2014-10-01 12:00:00    29.373069\n",
       "2014-10-01 13:00:00    29.566282\n",
       "2014-10-01 14:00:00    29.751467\n",
       "2014-10-01 15:00:00    29.928958\n",
       "2014-10-01 16:00:00    30.099073\n",
       "2014-10-01 17:00:00    30.262121\n",
       "2014-10-01 18:00:00    30.418393\n",
       "2014-10-01 19:00:00    30.568173\n",
       "2014-10-01 20:00:00    30.711729\n",
       "2014-10-01 21:00:00    30.849320\n",
       "2014-10-01 22:00:00    30.981194\n",
       "2014-10-01 23:00:00    31.107589\n",
       "2014-10-02 00:00:00    31.228732\n",
       "2014-10-02 01:00:00    31.344841\n",
       "2014-10-02 02:00:00    31.456126\n",
       "2014-10-02 03:00:00    31.562787\n",
       "2014-10-02 04:00:00    31.665017\n",
       "2014-10-02 05:00:00    31.762998\n",
       "                         ...    \n",
       "2014-10-29 19:00:00    34.023154\n",
       "2014-10-29 20:00:00    34.023154\n",
       "2014-10-29 21:00:00    34.023154\n",
       "2014-10-29 22:00:00    34.023154\n",
       "2014-10-29 23:00:00    34.023154\n",
       "2014-10-30 00:00:00    34.023154\n",
       "2014-10-30 01:00:00    34.023154\n",
       "2014-10-30 02:00:00    34.023154\n",
       "2014-10-30 03:00:00    34.023154\n",
       "2014-10-30 04:00:00    34.023154\n",
       "2014-10-30 05:00:00    34.023154\n",
       "2014-10-30 06:00:00    34.023154\n",
       "2014-10-30 07:00:00    34.023154\n",
       "2014-10-30 08:00:00    34.023154\n",
       "2014-10-30 09:00:00    34.023154\n",
       "2014-10-30 10:00:00    34.023154\n",
       "2014-10-30 11:00:00    34.023154\n",
       "2014-10-30 12:00:00    34.023154\n",
       "2014-10-30 13:00:00    34.023154\n",
       "2014-10-30 14:00:00    34.023154\n",
       "2014-10-30 15:00:00    34.023154\n",
       "2014-10-30 16:00:00    34.023154\n",
       "2014-10-30 17:00:00    34.023154\n",
       "2014-10-30 18:00:00    34.023154\n",
       "2014-10-30 19:00:00    34.023154\n",
       "2014-10-30 20:00:00    34.023154\n",
       "2014-10-30 21:00:00    34.023154\n",
       "2014-10-30 22:00:00    34.023154\n",
       "2014-10-30 23:00:00    34.023154\n",
       "2014-10-31 00:00:00    34.023154\n",
       "Freq: H, Length: 721, dtype: float64"
      ]
     },
     "execution_count": 149,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "arima.predict(start,end,dynamic=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 161,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-17T14:14:23.929645Z",
     "start_time": "2019-09-17T14:14:23.548628Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "平均绝对误差MAE=15.700600；\n",
      "均方根误差RMSE=20.373026；\n",
      "平均绝对百分比误差MAPE=0.737013。\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df_0=pd.DataFrame()\n",
    "df_0['real']=df.y[n:2*n]\n",
    "df_0['pred']=arima.predict(start,end,dynamic=True)\n",
    "\n",
    "abs_=(df_0['real']-df_0['pred']).abs()\n",
    "mae=abs_.mean()#Mean Absolute Error ，平均绝对误差\n",
    "rmse=((abs_**2).mean())**0.5 #Root Mean Square Error,均方根误差\n",
    "mape=(abs_/df_0['real']).mean()# mean absolute percentage error，平均绝对百分比误差\n",
    "print('平均绝对误差MAE=%f；\\n均方根误差RMSE=%f；\\n平均绝对百分比误差MAPE=%f。'%(mae,rmse,mape))\n",
    "df_0.plot(figsize=(10,5))\n",
    "plt.title('一个月的样本外预测',size=15)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-17T12:54:06.938578Z",
     "start_time": "2019-09-17T12:53:20.796751Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "bic: -1148.5960437008573 p: 0 q: 1\n",
      "[-0.00033763]\n",
      "-0.0003308343046171796\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "from statsmodels.tsa.arima_model import ARMA\n",
    "import sys\n",
    "from dateutil.relativedelta import relativedelta\n",
    "from copy import deepcopy\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "class arima_model:\n",
    "\n",
    "    def __init__(self, ts, maxLag=9):\n",
    "        self.data_ts = ts\n",
    "        self.resid_ts = None\n",
    "        self.predict_ts = None\n",
    "        self.maxLag = maxLag\n",
    "        self.p = maxLag\n",
    "        self.q = maxLag\n",
    "        self.properModel = None\n",
    "        self.bic = sys.maxsize\n",
    "\n",
    "    # 计算最优ARIMA模型，将相关结果赋给相应属性\n",
    "    def get_proper_model(self):\n",
    "        self._proper_model()\n",
    "        self.predict_ts = deepcopy(self.properModel.predict())\n",
    "        self.resid_ts = deepcopy(self.properModel.resid)\n",
    "\n",
    "    # 对于给定范围内的p,q计算拟合得最好的arima模型，这里是对差分好的数据进行拟合，故差分恒为0\n",
    "    def _proper_model(self):\n",
    "        for p in np.arange(self.maxLag):\n",
    "            for q in np.arange(self.maxLag):\n",
    "                # print p,q,self.bic\n",
    "                model = ARMA(self.data_ts, order=(p, q))\n",
    "                try:\n",
    "                    results_ARMA = model.fit(disp=-1, method='css')\n",
    "                except:\n",
    "                    continue\n",
    "                bic = results_ARMA.bic\n",
    "                # print 'bic:',bic,'self.bic:',self.bic\n",
    "                if bic < self.bic:\n",
    "                    self.p = p\n",
    "                    self.q = q\n",
    "                    self.properModel = results_ARMA\n",
    "                    self.bic = bic\n",
    "                    self.resid_ts = deepcopy(self.properModel.resid)\n",
    "                    self.predict_ts = self.properModel.predict()\n",
    "\n",
    "    # 参数确定模型\n",
    "    def certain_model(self, p, q):\n",
    "            model = ARMA(self.data_ts, order=(p, q))\n",
    "            try:\n",
    "                self.properModel = model.fit( disp=-1, method='css')\n",
    "                self.p = p\n",
    "                self.q = q\n",
    "                self.bic = self.properModel.bic\n",
    "                self.predict_ts = self.properModel.predict()\n",
    "                self.resid_ts = deepcopy(self.properModel.resid)\n",
    "            except:\n",
    "                print ('You can not fit the model with this parameter p,q, ' \\\n",
    "                      'please use the get_proper_model method to get the best model')\n",
    "\n",
    "    # 预测第二日的值\n",
    "    def forecast_next_day_value(self, type='day'):\n",
    "        # 我修改了statsmodels包中arima_model的源代码，添加了constant属性，\n",
    "        #需要先运行forecast方法，为constant赋值\n",
    "        self.properModel.forecast()\n",
    "        if self.data_ts.index[-1] != self.resid_ts.index[-1]:\n",
    "            raise ValueError('''The index is different in data_ts and resid_ts, please add new data to data_ts.\n",
    "            If you just want to forecast the next day data without add the real next day data to data_ts,\n",
    "            please run the predict method which arima_model included itself''')\n",
    "        if not self.properModel:\n",
    "            raise ValueError('The arima model have not computed, please run the proper_model method before')\n",
    "        para = self.properModel.params\n",
    "\n",
    "        # print self.properModel.params\n",
    "        if self.p == 0:   \n",
    "            # It will get all the value series with setting self.data_ts[-self.p:] when p is zero\n",
    "            ma_value = self.resid_ts[-self.q:]\n",
    "            values = ma_value.reindex(index=ma_value.index[::-1])\n",
    "        elif self.q == 0:\n",
    "            ar_value = self.data_ts[-self.p:]\n",
    "            values = ar_value.reindex(index=ar_value.index[::-1])\n",
    "        else:\n",
    "            ar_value = self.data_ts[-self.p:]\n",
    "            ar_value = ar_value.reindex(index=ar_value.index[::-1])\n",
    "            ma_value = self.resid_ts[-self.q:]\n",
    "            ma_value = ma_value.reindex(index=ma_value.index[::-1])\n",
    "            values = ar_value.append(ma_value)\n",
    "\n",
    "        predict_value = np.dot(para[1:], values) \n",
    "        self._add_new_data(self.predict_ts, predict_value, type)\n",
    "        return predict_value\n",
    "\n",
    "    # 动态添加数据函数，针对索引是月份和日分别进行处理\n",
    "    def _add_new_data(self, ts, dat, type='day'):\n",
    "        if type == 'day':\n",
    "            new_index = ts.index[-1] + relativedelta(days=1)\n",
    "        elif type == 'month':\n",
    "            new_index = ts.index[-1] + relativedelta(months=1)\n",
    "        ts[new_index] = dat\n",
    "\n",
    "    def add_today_data(self, dat, type='day'):\n",
    "        self._add_new_data(self.data_ts, dat, type)\n",
    "        if self.data_ts.index[-1] != self.predict_ts.index[-1]:\n",
    "            raise ValueError('You must use the forecast_next_day_value method forecast the value of today before')\n",
    "        self._add_new_data(self.resid_ts, self.data_ts[-1] - self.predict_ts[-1], type)\n",
    "\n",
    "if __name__ == '__main__':\n",
    "    df = pd.read_csv('AirPassengers.csv', encoding='utf-8', index_col='Month')\n",
    "    df.index = pd.to_datetime(df.index)\n",
    "    ts = df['#Passengers']\n",
    "\n",
    "    # 数据预处理\n",
    "    ts_log = np.log(ts)\n",
    "    rol_mean = ts_log.rolling(window=24).mean()\n",
    "    rol_mean.dropna(inplace=True)\n",
    "    ts_diff_1 = rol_mean.diff(1)\n",
    "    ts_diff_1.dropna(inplace=True)\n",
    "    ts_diff_2 = ts_diff_1.diff(1)\n",
    "    ts_diff_2.dropna(inplace=True)\n",
    "\n",
    "    # 模型拟合\n",
    "    model = arima_model(ts_diff_2)\n",
    "    #  这里使用模型参数自动识别\n",
    "    model.get_proper_model()\n",
    "    print ('bic:', model.bic, 'p:', model.p, 'q:', model.q)\n",
    "    print (model.properModel.forecast()[0])\n",
    "    print (model.forecast_next_day_value(type='month'))\n",
    "\n",
    "    # 预测结果还原\n",
    "    predict_ts = model.properModel.predict()\n",
    "    diff_shift_ts = ts_diff_1.shift(1)\n",
    "    diff_recover_1 = predict_ts.add(diff_shift_ts)\n",
    "    rol_shift_ts = rol_mean.shift(1)\n",
    "    diff_recover = diff_recover_1.add(rol_shift_ts)\n",
    "    rol_sum = ts_log.rolling(window=11).sum()\n",
    "    rol_recover = diff_recover*24 - rol_sum.shift(1)\n",
    "    log_recover = np.exp(rol_recover)\n",
    "    log_recover.dropna(inplace=True)\n",
    "\n",
    "    # 预测结果作图\n",
    "    ts = ts[log_recover.index]\n",
    "    plt.figure(facecolor='white')\n",
    "    log_recover.plot(color='blue', label='Predict')\n",
    "    ts.plot(color='red', label='Original')\n",
    "    plt.legend(loc='best')\n",
    "    plt.title('RMSE: %.4f'% np.sqrt(sum((log_recover-ts)**2)/ts.size))\n",
    "    plt.show()"
   ]
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   "source": []
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